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

Mitsuo Izuki

Research output: Contribution to journal › Article

19 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.
@article{df5a2219fcdc4a20972073f2c14dd28b,
title = "Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent",
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.",
keywords = "Herz-Sobolev space with variable exponent, Vectorvalued inequality, Wavelet",
author = "Mitsuo Izuki",
year = "2010",
month = "12",
doi = "10.3336/gm.45.2.14",
language = "English",
volume = "45",
pages = "475--503",
journal = "Glasnik Matematicki",
issn = "0017-095X",
publisher = "University of Zagreb",
number = "2",

}

TY - JOUR

T1 - Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent

AU - Izuki, Mitsuo

PY - 2010/12

Y1 - 2010/12

N2 - 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.

AB - 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.

KW - Herz-Sobolev space with variable exponent

KW - Vectorvalued inequality

KW - Wavelet

UR - http://www.scopus.com/inward/record.url?scp=78651081510&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651081510&partnerID=8YFLogxK

U2 - 10.3336/gm.45.2.14

DO - 10.3336/gm.45.2.14

M3 - Article

VL - 45

SP - 475

EP - 503

JO - Glasnik Matematicki

JF - Glasnik Matematicki

SN - 0017-095X

IS - 2

ER -

Access to Document