Molecules in coorbit spaces and boundedness of operators

Tom 192 / 2009

Karlheinz Gröchenig, Mariusz Piotrowski Studia Mathematica 192 (2009), 61-77 MSC: 42B35, 46E35. DOI: 10.4064/sm192-1-6

Streszczenie

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.

Autorzy

  • Karlheinz GröchenigFaculty of Mathematics
    University of Vienna
    Nordbergstrasse 15
    A-1090 Vienna, Austria
    e-mail
  • Mariusz PiotrowskiFaculty of Mathematics
    University of Vienna
    Nordbergstrasse 15
    A-1090 Vienna, Austria
    e-mail

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