Morrey spaces and fractional integral operators

A. Eridani; Vakhtang Kokilashvili; Alexander Meskhi

doi:10.1016/j.exmath.2009.01.001

Morrey spaces and fractional integral operators

A. Eridani, Vakhtang Kokilashvili, Alexander Meskhi

Faculty of Science and Technology

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

32 Citations (Scopus)

Abstract

The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established. In the case when measure satisfies the doubling condition the derived conditions are simultaneously necessary and sufficient for appropriate inequalities.

Original language	English
Pages (from-to)	227-239
Number of pages	13
Journal	Expositiones Mathematicae
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/j.exmath.2009.01.001
Publication status	Published - 2009

Keywords

Fractional integrals
Morrey spaces
Non-homogeneous spaces
Trace inequality
Two-weight inequality

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10.1016/j.exmath.2009.01.001

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AU - Eridani, A.

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AU - Meskhi, Alexander

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AB - The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established. In the case when measure satisfies the doubling condition the derived conditions are simultaneously necessary and sufficient for appropriate inequalities.

KW - Fractional integrals

KW - Morrey spaces

KW - Non-homogeneous spaces

KW - Trace inequality

KW - Two-weight inequality

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Morrey spaces and fractional integral operators

Abstract

Keywords

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