Estimation of norms of singular integral operators in \(L^ p\) spaces with weights, satisfying Muckenhoupt's condition

DOI10.1007/BF00970224zbMath0624.47025OpenAlexW2312786666MaRDI QIDQ578562

B. V. Pal'tsev

Publication date: 1987

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970224

zbMATH Keywords

weightsMuckenhoupt conditionCalderon-Zygmund operatorsweighted \(L^ p\)-space

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Singular integral equations (45E99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Cites Work

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• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Weighted norm inequalities for singular integrals
• On convergence and growth of partial sums of Fourier series
• Weighted norm inequalities for maximal functions and singular integrals
• An estimate of the conjugate functions
• Weighted Norm Inequalities for the Hardy Maximal Function
• Distribution Function Inequalities for Singular Integrals
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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