The necessary and sufficient condition for boundedness of fractional integral operator in Morrey space on non-homogeneous spaces

Mohammad Imam Utoyo; Toto Nusantara; Basuki Widodo; Suhariningsih

The necessary and sufficient condition for boundedness of fractional integral operator in Morrey space on non-homogeneous spaces

Mohammad Imam Utoyo, Toto Nusantara, Basuki Widodo, Suhariningsih

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

Abstract

We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I _α in classic Morrey space and in generalized Morrey space on non-homogeneous space.

Original language	English
Pages (from-to)	139-153
Number of pages	15
Journal	Far East Journal of Mathematical Sciences
Volume	69
Issue number	1
Publication status	Published - Oct 2012
Externally published	Yes

Keywords

Classic and generalized morrey space
Fractional integral operator
Non-homogeneous space

Cite this

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title = "The necessary and sufficient condition for boundedness of fractional integral operator in Morrey space on non-homogeneous spaces",

abstract = "We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in classic Morrey space and in generalized Morrey space on non-homogeneous space.",

keywords = "Classic and generalized morrey space, Fractional integral operator, Non-homogeneous space",

author = "Utoyo, {Mohammad Imam} and Toto Nusantara and Basuki Widodo and Suhariningsih",

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journal = "Far East Journal of Mathematical Sciences",

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AU - Widodo, Basuki

AU - Suhariningsih,

PY - 2012/10

Y1 - 2012/10

N2 - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in classic Morrey space and in generalized Morrey space on non-homogeneous space.

AB - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in classic Morrey space and in generalized Morrey space on non-homogeneous space.

KW - Classic and generalized morrey space

KW - Fractional integral operator

KW - Non-homogeneous space

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SN - 0972-0871

VL - 69

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EP - 153

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

IS - 1

ER -

The necessary and sufficient condition for boundedness of fractional integral operator in Morrey space on non-homogeneous spaces

Abstract

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