A+ CATEGORY SCIENTIFIC UNIT

Weighted embedding theorems for radial Besov and Triebel–Lizorkin spaces

Volume 233 / 2016

Pablo L. De Nápoli, Irene Drelichman, Nicolas Saintier Studia Mathematica 233 (2016), 47-65 MSC: 46E35, 42C40. DOI: 10.4064/sm8383-4-2016 Published online: 9 May 2016

Abstract

We study the continuity and compactness of embeddings for radial Besov and Triebel–Lizorkin spaces with weights in the Muckenhoupt class $A_\infty $. The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation.

Authors

  • Pablo L. De NápoliIMAS (UBA-CONICET) and
    Departamento de Matemática
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    Ciudad Universitaria
    1428 Buenos Aires, Argentina
    e-mail
  • Irene DrelichmanIMAS (UBA-CONICET)
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    Ciudad Universitaria
    1428 Buenos Aires, Argentina
    e-mail
  • Nicolas SaintierDepartamento de Matemática
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    Ciudad Universitaria
    1428 Buenos Aires, Argentina
    e-mail

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