Fractional integral operator and olsen inequality in the non-homogeneous classic Morrey space

Mohammad Imam Utoyo; Toto Nusantara; Basuki Widodo; Suhariningsih

Fractional integral operator and olsen inequality in the non-homogeneous classic Morrey space

Mohammad Imam Utoyo^*
, Toto Nusantara
, Basuki Widodo
, Suhariningsih

^*Corresponding author for this work

Laboratory of Mathematical Modeling and System Simulation

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

8 Citations (Scopus)

Abstract

We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I _α in the non-homogeneous classic Morrey space. In addition, we also derive Olsen type inequalities involving I _α. In this paper, we use the measure of order which more general than the previous studies. Consequently, the results of previous studies is a particular form of the results of this study.

Original language	English
Pages (from-to)	1501-1511
Number of pages	11
Journal	International Journal of Mathematical Analysis
Volume	6
Issue number	29-32
Publication status	Published - 2012

Keywords

Fractional integral operator
Non-homogeneous classic morrey space
Olsen inequality

Cite this

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title = "Fractional integral operator and olsen inequality in the non-homogeneous classic Morrey space",

abstract = "We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in the non-homogeneous classic Morrey space. In addition, we also derive Olsen type inequalities involving I α. In this paper, we use the measure of order which more general than the previous studies. Consequently, the results of previous studies is a particular form of the results of this study.",

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T1 - Fractional integral operator and olsen inequality in the non-homogeneous classic Morrey space

AU - Utoyo, Mohammad Imam

AU - Nusantara, Toto

AU - Widodo, Basuki

AU - Suhariningsih,

PY - 2012

Y1 - 2012

N2 - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in the non-homogeneous classic Morrey space. In addition, we also derive Olsen type inequalities involving I α. In this paper, we use the measure of order which more general than the previous studies. Consequently, the results of previous studies is a particular form of the results of this study.

AB - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in the non-homogeneous classic Morrey space. In addition, we also derive Olsen type inequalities involving I α. In this paper, we use the measure of order which more general than the previous studies. Consequently, the results of previous studies is a particular form of the results of this study.

KW - Fractional integral operator

KW - Non-homogeneous classic morrey space

KW - Olsen inequality

UR - https://www.scopus.com/pages/publications/84865072945

M3 - Article

AN - SCOPUS:84865072945

SN - 1312-8876

VL - 6

SP - 1501

EP - 1511

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

IS - 29-32

ER -

Fractional integral operator and olsen inequality in the non-homogeneous classic Morrey space

Abstract

Keywords

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