Integrability for Hardy operators of double phase

  • Yoshihiro Mizuta

    Hiroshima University, Japan
  • Tetsu Shimomura

    Hiroshima University, Japan
Integrability for Hardy operators of double phase cover

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Abstract

We establish Hardy–Sobolev and Hardy–Trudinger inequalities in weighted Orlicz spaces on . As an application, we prove Hardy–Sobolev and Hardy–Trudinger inequalities in the framework of general double phase functionals given by

where , are positive convex functions on and is a non-negative function on which is Hölder continuous of order .

Cite this article

Yoshihiro Mizuta, Tetsu Shimomura, Integrability for Hardy operators of double phase. Z. Anal. Anwend. 42 (2023), no. 3/4, pp. 375–402

DOI 10.4171/ZAA/1732