Molecules in coorbit spaces and boundedness of operators

• Autorzy: Karlheinz Gröchenig , Mariusz Piotrowski
• Języki publikacji: EN

Abstrakty

EN

We study the notion of molecules in coorbit spaces. The main result states that if an operator, originally defined on an appropriate space of test functions, maps atoms to molecules, then it can be extended to a bounded operator on coorbit spaces. For time-frequency molecules we recover some boundedness results on modulation spaces, for time-scale molecules we obtain the boundedness on homogeneous Besov spaces.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 1
• Strony: 61-77

Daty

wydano

2009

Twórcy

autor

Karlheinz Gröchenig

• Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria

autor

Mariusz Piotrowski

• Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria

Identyfikatory

DOI

10.4064/sm192-1-6