Norms and essential norms of the singular integral operator with Cauchy kernel on weighted Lebesgue spaces

DOI10.1007/s00020-010-1792-9zbMath1211.45010OpenAlexW2083728386MaRDI QIDQ601713

Takanori Yamamoto, Takahiko Nakazi

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1792-9

zbMATH Keywords

singular integral operatoressential normoperator normweighted Lebesgue space\(A_2\)-weight

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (45P05) Integral operators (47G10) Integral equations with kernels of Cauchy type (45E05)

Related Items

A commutator approach to truncated singular integral operators ⋮ Properties of singular integral operators \(S_{\alpha,\beta}\) ⋮ Algebras of generalized Cauchy singular integral operators

Cites Work

• Essential norms of some singular integral operators
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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