Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms.

Original languageEnglish
Pages (from-to)461-472
Number of pages12
JournalRendiconti del Circolo Matematico di Palermo
Volume59
Issue number3
DOIs
Publication statusPublished - Dec 2010
Externally publishedYes

Fingerprint

Herz Space
Variable Exponent
Fractional Integral
Lebesgue Space
Commutator
Boundedness
Norm

Keywords

  • BMO
  • Commutator
  • Fractional integral
  • Herz space with variable exponent

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent. / Izuki, Mitsuo.

In: Rendiconti del Circolo Matematico di Palermo, Vol. 59, No. 3, 12.2010, p. 461-472.

Research output: Contribution to journalArticle

@article{5c92436a4021432596f8ab054b8b627d,
title = "Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent",
abstract = "Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms.",
keywords = "BMO, Commutator, Fractional integral, Herz space with variable exponent",
author = "Mitsuo Izuki",
year = "2010",
month = "12",
doi = "10.1007/s12215-010-0034-y",
language = "English",
volume = "59",
pages = "461--472",
journal = "Rendiconti del Circolo Matematico di Palermo",
issn = "0009-725X",
publisher = "Circolo Matematico di Palermo",
number = "3",

}

TY - JOUR

T1 - Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

AU - Izuki, Mitsuo

PY - 2010/12

Y1 - 2010/12

N2 - Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms.

AB - Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms.

KW - BMO

KW - Commutator

KW - Fractional integral

KW - Herz space with variable exponent

UR - http://www.scopus.com/inward/record.url?scp=84859837006&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859837006&partnerID=8YFLogxK

U2 - 10.1007/s12215-010-0034-y

DO - 10.1007/s12215-010-0034-y

M3 - Article

VL - 59

SP - 461

EP - 472

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

SN - 0009-725X

IS - 3

ER -