Search Results - Singular integrals of functions in several complex variables*

The Finite Part of Singular Integrals in Several Complex Variables

Authors: Xiaoqin, Wang

Source: Transactions of the American Mathematical Society, 1993 Jun 01. 337(2), 771-793.

Access URL: https://www.jstor.org/stable/2154242

Regularity estimates in weighted Orlicz spaces for Calderón–Zygmund type singular integral operators: Regularity estimates in weighted Orlicz spaces for Calderón-Zygmund type singular integral operators

Authors: Fengping Yao

Source: Forum Mathematicum. 29:187-199

Subject Terms: weighted Orlicz spaces, Singular and oscillatory integrals (Calderón-Zygmund, etc.), regularity estimates, singular integral operators, Singular integrals of functions in several complex variables, 0101 mathematics, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

File Description: application/xml

Access URL: https://zbmath.org/7010463
https://doi.org/10.1515/forum-2015-0086
https://www.degruyter.com/view/j/forum.2017.29.issue-1/forum-2015-0086/forum-2015-0086.xml?lang=en

Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals

Authors: Boukraa, S. Hassani, S. Maillard, J-M.

Index Terms: Mathematical Physics, High Energy Physics - Theory, 34M55, 47E05, 81Qxx, 32G34, 34Lxx, 34Mxx, 14Kxx, text

URL: http://arxiv.org/abs/1207.1784

Singular integrals with highly oscillating kernels on product spaces

Authors: Elena Prestini

Source: Colloquium Mathematicum. 86:9-13

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), Carleson maximal operator, Hardy-Littlewood maximal function, General harmonic expansions, frames, Singular integrals of functions in several complex variables, boundedness, 0101 mathematics, Fourier series, 01 natural sciences, oscillatory singular integrals

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/111645?download.pdf
https://zbmath.org/1548897
https://doi.org/10.4064/cm-86-1-9-13
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-cmv86i1p9bwm
https://eudml.org/doc/210844
http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-article-cmv86i1p9bwm

Functions invariant under the Bochner–Martinelli integral: Functions invariant under the Bochner-Martinelli integral

Authors: Jaesung Lee

Source: Bulletin of the Australian Mathematical Society. 65:55-57

Subject Terms: Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), holomorphic function, 0103 physical sciences, Singular integrals of functions in several complex variables, 0101 mathematics, Poisson integral, 01 natural sciences

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/42C6744DA7752AD9B6EA3BCF5D46DAA5/S0004972700020050a.pdf/div-class-title-functions-invariant-under-the-bochner-martinelli-integral-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0004972700020050
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/functions-invariant-under-the-bochnermartinelli-integral/42C6744DA7752AD9B6EA3BCF5D46DAA5

THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOOTH CLOSED ORIENTABLE MANIFOLDS: The differential integral equations on smooth closed orientable manifolds

Authors: Tongde Zhong Tao Qian

Source: Acta Mathematica Scientia. 21:1-8

Subject Terms: Bochner-Martinelli kernel, integral equation, Plemelj formula, Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Boundary behavior of holomorphic functions of several complex variables, Hadamard finite part, Singular integrals of functions in several complex variables, Singular integral equations, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1659384
https://doi.org/10.1016/s0252-9602(17)30570-2
https://www.sciencedirect.com/science/article/pii/S0252960217305702

On a Riemann boundary value problem for functions of several complex variables which are holomorphic on multicircular domains in \(\mathbb C^n\)

Authors: Nelaev, A. V.

Subject Terms: Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Boundary behavior of holomorphic functions of several complex variables, homogeneous and inhomogeneous problems, Singular integrals of functions in several complex variables, Riemann boundary value problem, solvability, Temlyakov-type integral, \(n\)-circular domain

File Description: application/xml

Access URL: https://zbmath.org/2112600

Several theorems of singular integral on a domain built by complex biballs.

Authors: Gong, Dingdong Lin, Liangyu

Subject Terms: singular integral, domain built by complex biballs, solid angle coefficient, Singular integrals of functions in several complex variables

File Description: application/xml

Access URL: https://zbmath.org/1854100

On the Cauchy Principal Value of the Khenkin-Ramirez Singular Integral in Strictly Pseudoconvex Domains of Cⁿ.

Authors: Kytmanov, A. Myslivets, S.

Source: Siberian Mathematical Journal; May2005, Vol. 46 Issue 3, p494-500, 7p

Subject Terms: CAUCHY problem, CONVEX domains, PARTIAL differential equations, SINGULAR integrals, PSEUDOCONVEX domains, FUNCTIONS of several complex variables

Singular Integral Operators with Cauchy Kernel in Fractional Spaces.

Authors: Bliev, N.

Source: Siberian Mathematical Journal; Jan2006, Vol. 47 Issue 1, p28-34, 7p

Subject Terms: KERNEL functions, SINGULAR integrals, BESOV spaces, ELLIPTIC operators, ANALYTIC continuation, FUNCTIONS of several complex variables, MATHEMATICS

The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C n: The Cauchy boundary value problems on closed piecewise smooth manifolds in \(\mathbb{C}^n\)

Authors: Lin, Liang Yu Qiu, Chun Hui

Source: Acta Mathematica Sinica, English Series. 20:989-998

Subject Terms: Bochner-Martinelli kernel, Hadamard principal value, Holomorphic functions of several complex variables, Plemelj formula, 4. Education, Boundary behavior of holomorphic functions of several complex variables, Singular integrals of functions in several complex variables, 16. Peace & justice, 01 natural sciences, boundary value problem, 8. Economic growth, Integral representations, canonical kernels (Szegő, Bergman, etc.), 0101 mathematics, Boundary value problem

File Description: application/xml

Access URL: https://zbmath.org/2243674
https://doi.org/10.1007/s10114-004-0387-2
https://rd.springer.com/article/10.1007%2Fs10114-004-0387-2
https://link.springer.com/article/10.1007%2Fs10114-004-0387-2
https://core.ac.uk/display/41371678
http://dspace.xmu.edu.cn/handle/2288/66711?locale-attribute=en

Applications of the singular integral operators in real and complex analysis

Authors: Li, Songying

Subject Terms: Toeplitz type operator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), commutator theory, singular integral operators, Hardy space, Singular integrals of functions in several complex variables, \(H^p\)-spaces, Green operator, Banach spaces of continuous, differentiable or analytic functions, Toeplitz operators, Hankel operators, Wiener-Hopf operators, partial differential equations, Commutators, derivations, elementary operators, etc, survey, space of homogeneous type

File Description: application/xml

Access URL: https://zbmath.org/1697377

A linear singular integral equation on a complex two-ball domain

Authors: Lin, Liangyu Chen, Luping Jiang, Yongguo

Subject Terms: Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Integral equations with kernels of Cauchy type, Singular integrals of functions in several complex variables, singular integral equation, building domain of complex biballs

File Description: application/xml

Access URL: https://zbmath.org/1560913

Algebra of Bergman Operators with Automorphic Coefficients and Parabolic Group of Shifts: Algebra of Bergman operators with automorphic coefficients and parabolic group of shifts.

Authors: V. A. Chernetskii V. A. Mozel

Source: Ukrainian Mathematical Journal. 53:1464-1472

Subject Terms: algebra of two-dimensional singular operators, Integral representations, canonical kernels (Szegő, Bergman, etc.), group of rational-linear transformations, Singular integrals of functions in several complex variables, 0101 mathematics, Bergman kernel, operator of weighted shift, 01 natural sciences, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A%3A1014362524114

Reducción de tipo Hopf de un modelo cuártico : aplicaciones en dinámica rotacional y orbital= Hopf fibration reduction of a quartic model: applications to rotational and orbital dynamics

Authors: Crespo Cutillas, Francisco

Thesis Advisors: Ferrer Martínez, Sebastián, Díaz Toca, Gema Mª, Universidad de Murcia. Departamento de Matemática Aplicada

Source: TDR (Tesis Doctorales en Red)

Subject Terms: Hopf, Álgebras de Mecánica, Geometría, Ciencias aplicadas

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/286508

Several Complex Variables in China

Authors: Chung-Chun Yang Sheng Gong

Resource Type: eBook.

Subjects: Functions of several complex variables, Mathematics--Research--China

Categories: MATHEMATICS / Complex Analysis, MATHEMATICS / Calculus, MATHEMATICS / Functional Analysis

A representation formula and its applications to singular integrals

Authors: A. P. Calderón Calixto P. Calderón

Source: Indiana University Mathematics Journal. 49:0-0

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), analytic function of several variables, strong type, Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), polydisc, Special integral transforms (Legendre, Hilbert, etc.), singular integrals, Singular integrals of functions in several complex variables, 0101 mathematics, representation formula, 01 natural sciences, weak type

File Description: application/xml

Access URL: https://zbmath.org/1546982
https://doi.org/10.1512/iumj.2000.49.1943
http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=1943&year=2000&volume=49

Hadamard principal value of higher order singular integrals

Authors: Qian, Tao Zhong, Tongde

Subject Terms: higher order singular integral, Hadamard principal values, Cauchy integral, Boundary behavior of holomorphic functions of several complex variables, Singular integrals of functions in several complex variables, complex hypersphere

File Description: application/xml

Access URL: https://zbmath.org/1775187

The inverse formula of singular integrals in Clifford analysis

Authors: Huang, Sha Mou, Weihua

Subject Terms: complex analysis in several variables, Functions of hypercomplex variables and generalized variables, singular integrals, Singular integrals of functions in several complex variables, inverse formulas, Clifford analysis

File Description: application/xml

Access URL: https://zbmath.org/1500228

Poincaré-Bertrand formula of a singular integral on a closed piecewise smooth manifold

Authors: Lin, Liangyu Qiu, Chunhui

Subject Terms: Integral representations, canonical kernels (Szegő, Bergman, etc.), Singular integrals of functions in several complex variables, solid angle coefficients, Poincaré-Bertrand replacement formula, singular integral of Bochner-Martinelli type

File Description: application/xml

Access URL: https://zbmath.org/1829819