Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent

Mitsuo Izuki

Research output: Contribution to journal › Article

21 Citations (Scopus)

Abstract

Our first aim in this paper is to prove the vector-valued inequalities for some sublinear operators on Herz spaces with variable exponent. As an application, we obtain some equivalent norms and wavelet characterization of Herz-Sobolev spaces with variable exponent.

Original languageEnglish
Pages (from-to)475-503
Number of pages29
JournalGlasnik Matematicki
Volume45
Issue number2
DOIs
Publication statusPublished - Dec 2010
Externally publishedYes

Fingerprint

Herz Space
Variable Exponent
Sobolev Spaces
Sublinear Operator
Equivalent Norm
Wavelets

Keywords

  • Herz-Sobolev space with variable exponent
  • Vectorvalued inequality
  • Wavelet

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent. / Izuki, Mitsuo.

In: Glasnik Matematicki, Vol. 45, No. 2, 12.2010, p. 475-503.

Research output: Contribution to journal › Article

Izuki, M 2010, 'Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent', Glasnik Matematicki, vol. 45, no. 2, pp. 475-503. https://doi.org/10.3336/gm.45.2.14
Izuki M. Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent. Glasnik Matematicki. 2010 Dec;45(2):475-503. https://doi.org/10.3336/gm.45.2.14
Izuki, Mitsuo. / Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent. In: Glasnik Matematicki. 2010 ; Vol. 45, No. 2. pp. 475-503.
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