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

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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

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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

Formulas for Computing the Lauricella Function in the Case of Crowding of Variables.

Authors: Bezrodnykh, S. I.

Source: Computational Mathematics & Mathematical Physics; Dec2022, Vol. 62 Issue 12, p2069-2090, 22p

Subject Terms: FUNCTIONS of several complex variables, INTERSECTION numbers, HYPERGEOMETRIC functions, HYPERGEOMETRIC series, PARTIAL differential equations, INTEGRAL functions, CONFORMAL mapping

THE LOCAL COMPLEX CALDERÓN PROBLEM: STABILITY IN A LAYERED MEDIUM FOR A SPECIAL TYPE OF ANISOTROPIC ADMITTIVITY.

Authors: FOSCHIATTI, SONIA GABURRO, ROMINA SINCICH, EVA

Source: SIAM Journal on Mathematical Analysis; 2025, Vol. 57 Issue 4, p4396-4424, 29p

Subject Terms: STABILITY theory, LIPSCHITZ continuity, NEUMANN boundary conditions, LAYER structure (Solids), MATRIX functions, INVERSE problems, FUNCTIONS of several complex variables

Hilbert's Tenth Problem for Complex Meromorphic Functions in Several Variables.

Authors: Pheidas, Thanases Vidaux, Xavier

Source: IMRN: International Mathematics Research Notices; Oct2022, Vol. 2022 Issue 19, p15474-15504, 31p

Subject Terms: HILBERT'S tenth problem, FUNCTIONS of several complex variables, MEROMORPHIC functions, ANALYTIC functions, INTEGRAL functions, ANALYTIC geometry

A Uniqueness Theorem for Meromorphic Functions Concerning Total Derivatives in Several Complex Variables.

Authors: Xu, Ling Cao, Tingbin

Source: Bulletin of the Malaysian Mathematical Sciences Society; Nov2020, Vol. 43 Issue 6, p3923-3940, 18p

Subject Terms: MEROMORPHIC functions, COMPLEX variables, FUNCTIONS of several complex variables, INTEGRAL functions

Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames.

Authors: Gröchenig, Karlheinz Lyubarskii, Yurii

Source: Complex Variables & Elliptic Equations; Oct2020, Vol. 65 Issue 10, p1717-1735, 19p

Subject Terms: FUNCTIONS of several complex variables, COMPLEX variables, INTEGRAL functions, REAL variables

k-holomorphic functions in spaces of several complex variables.

Authors: Qiao, Yuying Cui, Yanyan Li, Zunfeng et al.

Source: Complex Variables & Elliptic Equations; Nov2020, Vol. 65 Issue 11, p1826-1845, 20p

Subject Terms: FUNCTIONS of several complex variables, CAUCHY integrals, HOLOMORPHIC functions, MEAN value theorems

A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES.

Authors: GONZÁLEZ-CERVANTES, JOSÉ OSCAR BORY-REYES, JUAN

Source: Fractals; Jun2022, Vol. 30 Issue 4, p1-13, 13p

Subject Terms: HOLOMORPHIC functions, COMPLEX variables, FRACTIONAL calculus, FUNCTIONS of several complex variables, BIVECTORS

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

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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