Singular convolution integrals with operator-valued kernel

DOI10.1007/s00209-006-0043-xzbMath1189.45017OpenAlexW2016837833MaRDI QIDQ970206

Tuomas P. Hytönen, Lutz W. Weis

Publication date: 10 May 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0043-x

zbMATH Keywords

boundednesssingular integral operatorsoperator-valued Fourier multiplierHörmander-type condition

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

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• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Estimates for translation invariant operators in \(L^p\) spaces
• Weighted Hardy spaces
• Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces.
• Convolutions, multipliers and maximal regularity on vector-valued Hardy spaces
• On the existence of certain singular integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On vector-valued Fourier multiplier theorems
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity