Multipliers between Sobolev spaces and fractional differentiation

DOI10.1016/j.jmaa.2005.07.043zbMath1109.46039OpenAlexW2016247615MaRDI QIDQ2506442

Pierre Gilles Lemarié Rieusset, Saddek Gala

Publication date: 28 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.043

zbMATH Keywords

Sobolev spaces multipliers singular integrals paraproducts fractional differentiation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Cites Work