Search Results - \(L^{{\vec{p}}}-L^{{\vec{q}}}\) boundedness
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L^{\vec {p}}-L^{\vec {q}}$$ boundedness of multiparameter Forelli–Rudin type operators on the product of unit balls of $${\mathbb {C}}^n
ISSN: 0025-5874, 1432-1823Published: 01.04.2024Published in Mathematische Zeitschrift (01.04.2024)Get full text
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(L^{\vec{p}}-L^{\vec{q}}\) Boundedness of Multiparameter Forelli-Rudin Type Operators on the Siegel Upper Half-space
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 14.06.2024Published in arXiv.org (14.06.2024)“…In this article,we present exactly when two classes of multiparameter Forelli-Rudin type integral operators are bounded from one weighted mixed-norm Lebesgue space \(L^{\vec{p}}\) to another space \(L^{\vec{q…”
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(L^{\vec{p}}-L^{\vec{q}}\) Boundedness of Multiparameter Forelli-Rudin Type Operators on the Product of Unit Balls of \(\mathbb{C}^n\)
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 08.02.2024Published in arXiv.org (08.02.2024)“… Using these characterizations, we establish the necessary and sufficient conditions for both \(L^{\vec p}-L^{\vec q}\) boundedness of the weighted multiparameter Berezin transform…”
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Boundedness of Multiparameter Forelli-Rudin Type Operators on Product \(L^p\) Spaces over Tubular Domains
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 07.06.2024Published in arXiv.org (07.06.2024)“…{\alpha_2}\right)\) to \(L^{\vec{q}}\left(T_B\times T_B, dV_{\beta_1}\times dV_{\beta_2}\right)\), especially on their boundedness…”
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On the regularity and continuity of the multilinear fractional strong maximal operators
ISSN: 0025-584X, 1522-2616Published: Weinheim Wiley 01.05.2023Published in Mathematische Nachrichten (01.05.2023)“…$\mathcal {M}_{\mathcal {R}}$, corresponding to the critical index α=0$\alpha =0$. Boundedness and continuity for the map Mα,R:W1,p1(Rd)×⋯×W1,pm(Rd)→W1,q(Rd)$\mathcal {M…”
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Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces
ISSN: 1687-2770, 1687-2762, 1687-2770Published: Cham Springer International Publishing 21.10.2024Published in Boundary value problems (21.10.2024)“… . We investigate the boundedness of I β L and [ b , I β L ] , which are its commutators with b θ ( ρ ) on vanishing generalized mixed Morrey spaces V M p…”
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Mixed-norm Amalgam Spaces
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 04.10.2021Published in arXiv.org (04.10.2021)“…We introduce the mixed-norm amalgam spaces \((L^{\vec{p}},L^{\vec{s}})(\mathbb{R}^n)\) and \((L^{\vec{p}},L^{\vec{s}})^{\alpha}(\mathbb{R}^n)\), and show their some basic properties…”
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Extension of Multilinear Fractional Integral Operators to Linear Operators on Lebesgue Spaces with Mixed Norms
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.04.2020Published in arXiv.org (26.04.2020)“… They proved the boundedness of such multilinear fractional integral from \(L^{p_1}\times \ldots \times L^{p_{m+1}}\) to \(L^q\) when the indices satisfy the homogeneity condition…”
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Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces I: Decompositions with Applications to Boundedness of Calderón--Zygmund Operators
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 28.06.2019Published in arXiv.org (28.06.2019)“…)\), respectively, in terms of various maximal functions, atoms and molecules. As an application, the authors obtain the boundedness…”
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Compactness Characterizations of Commutators on Ball Banach Function Spaces
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 19.01.2021Published in arXiv.org (19.01.2021)“…Let \(X\) be a ball Banach function space on \({\mathbb R}^n\). Let \(\Omega\) be a Lipschitz function on the unit sphere of \({\mathbb R}^n\),which is…”
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A characterization of mixed \(\lambda\)-central \(\mathrm{BMO}\) space via the commutators of Hardy type operators
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 30.08.2023Published in arXiv.org (30.08.2023)“… \(\mathcal{H}^{*}\) on mixed Lebesgue space \(L^{\vec{p}}(\mathbb{R}^{n})\). In addition, we also establish the boundedness of commutators \(\mathcal{H}_{b…”
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Anisotropic Singular Integrals in Product Spaces
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 19.07.2010Published in arXiv.org (19.07.2010)“… Then the authors establish the boundedness of these anisotropic singular integrals on \(L^q_w(\mathbb R^n\times\mathbb R^m)\) with \(q\in(1, \infty)\) and \(w\in\mathcal A_q…”
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