Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets

DOI10.1090/S0002-9947-99-02313-2zbMath0928.42005OpenAlexW1876679095MaRDI QIDQ4257577

David K. Watson, Richard L. Wheeden

Publication date: 31 August 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02313-2

zbMATH Keywords

\(L^p\)-boundednessrough kernelstarlike setshomogeneous singular integralsweighted \(L^p\)-norms

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (4)

Boundedness of sublinear operators with rough kernels on weighted Morrey spaces ⋮ Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications ⋮ Averages over starlike sets, starlike maximal functions, and homogeneous singular integrals ⋮ Weighted estimates for rough oscillatory singular integrals

Cites Work

• Weighted estimates for singular integrals via Fourier transform estimates
• Maximal and singular integral operators via Fourier transform estimates
• Factorization of \(A_p\) weights
• Vector-valued inequalities, factorization, and extrapolation for a family of rough operators
• On Singular Integrals
• Interpolation of Operators with Change of Measures
• Results on Weighted Norm Inequalities for Multipliers
• Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
• Weighted inequalities for vector-valued maximal functions and singular integrals
• A Note on Singular Integrals with Weights
• Weighted Norm Inequalities for Homogeneous Singular Integrals
• Weighted norm inequalities for maximal functions and singular integrals
• A weighted norm inequality for singular integrals
• Some integral and maximal operators related to starlike sets
• Some Maximal Inequalities
• Weighted Norm Inequalities for Singular and Fractional Integrals
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