On Marcinkiewicz integral with homogeneous kernels

DOI10.1006/jmaa.2000.6765zbMath0961.42014OpenAlexW2065880152MaRDI QIDQ1570210

Ding, Yong, Qing Ying Xue, Lu, Shanzhen

Publication date: 6 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6765

zbMATH Keywords

Lipschitz spaceBMOnorm inequalityMorrey spaceMarcinkiewicz integralCampanato spaces \(\mathcal E^{\alpha,p}\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Banach spaces of continuous, differentiable or analytic functions (46E15) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (14)

Boundedness of multilinear Littlewood-Paley operators on Amalgam-Campanato spaces ⋮ Bmo boundedness for banach space valued singular integrals ⋮ Boundedness of higher-order Marcinkiewicz-type integrals ⋮ Marcinkiewicz integral with rough kernels ⋮ Parametrized Marcinkiewicz integrals on Herz spaces with variable exponents ⋮ Estimates for parametric Marcinkiewicz integrals in BMO and Campanato spaces ⋮ Generalized commutators for Marcinkiewicz type integrals with variable kernels ⋮ Existence and boundedness of multilinear Littlewood-Paley operators on Campanato spaces ⋮ Marcinkiewicz integrals with rough homogeneous kernels of degree zero in product domains ⋮ ESTIMATES FOR MARCINKIEWICZ INTEGRALS IN BMO AND CAMPANATO SPACES ⋮ Boundedness of Marcinkiewicz integral related to multilinear commutators with variable kernels on Hardy spaces ⋮ Existence and Boundedness of Parametrized Marcinkiewicz Integral with Rough Kernel on Campanato Spaces ⋮ The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces ⋮ Two operators related to Marcinkiewicz integrals

Cites Work

• Homogeneous fractional integrals on Hardy spaces
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Results on Weighted Norm Inequalities for Multipliers
• Singular integral operators with rough kernels supported by subvarieties
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels
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