Calderón-zygmund operators and pseudo-differential operators

DOI10.1080/03605308508820398zbMath0578.47040OpenAlexW2006371756MaRDI QIDQ3700343

Kôzô Yabuta

Publication date: 1985

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308508820398

zbMATH Keywords

Fourier transformgeneralized Calderón-Zygmund operatorsCalderón-Zygmund singular integral operatorsstandard kerneldistributional kernel of the pseudo-differential operatorweighted norm inequalities for pseudo-differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (10)

The weighted \(L^ p\)-boundedness of product-type pseudodifferential operators ⋮ Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings ⋮ Non-regular pseudo-differential operators on the weighted Triebel-Lizorkin spaces ⋮ Global and local regularity of Fourier integral operators on weighted and unweighted spaces ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type. II ⋮ Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity ⋮ Singular integral operators on \(L^{p,\Phi}\)-spaces ⋮ A note on weighted estimates for certain classes of pseudodifferential operators ⋮ Boundedness of Pseudodifferential Operators on Banach Function Spaces

Cites Work

• Weighted norm inequalities for certain pseudo-differential operators
• The \(L^ p\)-boundedness of pseudodifferential operators with estimates of parabolic type and product type
• On sufficient conditions for the boundedness of pseudo-differential operators
• \(H^p\) spaces of several variables
• L^p-Estimates for certain non-regular eudo-differential operators.
• The L^p-boundedness of pseudo-differential operators with non-regular symbols

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