Smooth Molecular Decompositions of Functions and Singular Integral Operators - Brossura

Brossura

ISBN 10: 0821827723 ISBN 13: 9780821827727

Casa editrice: Amer Mathematical Society, 2002

Riassunto

Under minimal assumptions on a function $\psi$ we obtain wavelet-type frames of the form $\psi_{j,k}(x) = r^{(1/2)n j} \psi(r^j x - sk), j \in \integer, k \in \integer^n,$ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in terms of smooth molecules.

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Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0821827723
• ISBN 13: 9780821827727
• Rilegatura: Copertina flessibile
• Numero di pagine: 74
• Redattore: Gilbert John E., Han Y. S., Hogan J. A., Lakey Joseph D., Weiland D., Weiss G.
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile