Boundedness of singular integral operators with operator-valued kernels and maximal regularity of sectorial operators in variable Lebesgue spaces

DOI10.1155/2020/3672892zbMath1436.42025OpenAlexW3011951498MaRDI QIDQ2310443

Feng Wang, Yue Ping Zhu, Qing-Hua Zhang

Publication date: 6 April 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/3672892

zbMATH Keywords

semilinear evolution equationsmaximal regularity of sectorial operators in Lebesgue spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)

Related Items (1)

Regular Banach space net and abstract-valued Orlicz space of range-varying type

Cites Work

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• Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces
• Classification and geometrical properties of the \(X_{\theta(\cdot)}\)-valued function spaces
• Weighted estimates for singular integral operators satisfying Hörmander's conditions of Young type
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Maximal function on generalized Lebesgue spaces L^p(⋅)
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