Bilinear singular integral operators, smooth atoms and molecules

DOI10.1007/s00041-003-0016-yzbMath1035.42007OpenAlexW1514658043MaRDI QIDQ1416662

Árpád Bényi

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1007/s00041-003-0016-y

zbMATH Keywords

atomic decompositionbilinear operatorTriebel-Lizorkin space\(T1\) theorembilinear weak boundednessCalderón-Zygmund integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Pseudodifferential operators (47G30)

Related Items (6)

A new proof of the bilinear T(1) Theorem ⋮ Bilinear wavelet representation of Calderón-Zygmund forms ⋮ The discrete Calderón reproducing formula of Frazier and Jawerth ⋮ Bilinear paraproducts revisited ⋮ On the boundedness of bilinear operators on products of Besov and Lebesgue spaces ⋮ Multiplier conditions for boundedness into Hardy spaces

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