Fractional integral operator on weighted non-homogeneous morrey spaces

Mohammad Imam Utoyo; Toto Nusantara; Cicik Alfiniyah

doi:10.12988/ijma.2013.39219

Fractional integral operator on weighted non-homogeneous morrey spaces

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We establish the necessary and sufficient condition for the boundedness of the fractional integral operator K_αⁿ on weighted non-homogeneous Morrey spaces. Measure which satisfies the growth condition of order ≥ 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study.

Original language	English
Pages (from-to)	3081-3095
Number of pages	15
Journal	International Journal of Mathematical Analysis
Volume	7
Issue number	61-64
DOIs	https://doi.org/10.12988/ijma.2013.39219
Publication status	Published - 2013

Keywords

Fractional integral operator
Non-homogeneous space
Weighted Morrey space

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10.12988/ijma.2013.39219

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title = "Fractional integral operator on weighted non-homogeneous morrey spaces",

abstract = "We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous Morrey spaces. Measure which satisfies the growth condition of order ≥ 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study.",

keywords = "Fractional integral operator, Non-homogeneous space, Weighted Morrey space",

author = "Utoyo, \{Mohammad Imam\} and Toto Nusantara and Cicik Alfiniyah",

year = "2013",

doi = "10.12988/ijma.2013.39219",

language = "English",

volume = "7",

pages = "3081--3095",

journal = "International Journal of Mathematical Analysis",

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TY - JOUR

T1 - Fractional integral operator on weighted non-homogeneous morrey spaces

AU - Utoyo, Mohammad Imam

AU - Nusantara, Toto

AU - Alfiniyah, Cicik

PY - 2013

Y1 - 2013

N2 - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous Morrey spaces. Measure which satisfies the growth condition of order ≥ 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study.

AB - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous Morrey spaces. Measure which satisfies the growth condition of order ≥ 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study.

KW - Fractional integral operator

KW - Non-homogeneous space

KW - Weighted Morrey space

UR - https://www.scopus.com/pages/publications/84891657109

U2 - 10.12988/ijma.2013.39219

DO - 10.12988/ijma.2013.39219

M3 - Article

AN - SCOPUS:84891657109

SN - 1312-8876

VL - 7

SP - 3081

EP - 3095

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

IS - 61-64

ER -

Fractional integral operator on weighted non-homogeneous morrey spaces

Abstract

Keywords

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