The generalization of paraproducts and the full T1 theorem for Sobolev and Triebel-Lizorkin spaces

DOI10.1006/jmaa.1997.5381zbMath0886.46040OpenAlexW2043094036MaRDI QIDQ1359620

Kunchuan Wang

Publication date: 6 July 1997

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5381

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spacesparaproductsboundedness of generalized Calderón-Zygmund operatorsfull T1 theoremmolecular families

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38)

Related Items

Singular integral operators on Triebel-Lizorkin spaces of para-accretive type, Bilinear wavelet representation of Calderón-Zygmund forms, Wavelet representation of singular integral operators, Bilinear paraproducts revisited, On the boundedness of bilinear operators on products of Besov and Lebesgue spaces, Duals of homogeneous weighted sequence Besov spaces and applications

Cites Work

• A discrete transform and decompositions of distribution spaces
• The boundedness of Calderón-Zygmund operators on the spaces \(\dot F_ p^{\alpha,q}\)
• A boundedness criterion for generalized Calderón-Zygmund operators
• Boundedness results for operators with singular kernels on distribution spaces
• The Full T1 Theorem for Certain Triebel - Lizorkin Spaces
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