Smooth molecular decompositions of functions and singular integral operators. Memoirs of the American Mathematical Society; 742.

ISBN 10: 0821827723 / ISBN 13: 9780821827727

Verlag: Providence, AMS, 2002

Beschreibung

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. R-17553 9780821827727 Sprache: Englisch Gewicht in Gramm: 550.

Bestandsnummer des Verkäufers 2482472

Bibliografische Details

• Titel: Smooth molecular decompositions of functions and singular integral operators. Memoirs of the American Mathematical Society; 742.
• Verlag: Providence, AMS
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 0821827723
• ISBN-13: 9780821827727
• Einband: Softcover
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

Inhaltsangabe

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.