Boundedness of vector-valued Calderón-Zygmund operators on Herz spaces with non-doubling measures

DOI10.1007/S10496-007-0138-1zbMath1165.41322OpenAlexW2050185413MaRDI QIDQ5435815

Hui Cao, Baode Li, Yin Sheng Jiang

Publication date: 14 January 2008

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

Full work available at URL: https://doi.org/10.1007/s10496-007-0138-1

zbMATH Keywords

Calderón-Zygmund operatorHerz spacenon-doubling measureweak Herz space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25) Ordered normed spaces (46B40)

Cites Work

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• Painlevé's problem and the semiadditivity of analytic capacity.
• The \(Tb\)-theorem on non-homogeneous spaces.
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• On the existence of principal values for the Cauchy integral on weighted Lebesgue spaces for non-doubling measures

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