Eridani and Vakhtang Kokilashvili and Alexander Meskhi (2009) Morrey Spaces and Fractional Integral Operators. Expositiones Mathematicae, 27 (3). pp. 227-239. ISSN 0723-0869

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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.

Item Type:	Article
Uncontrolled Keywords:	Fractional integralsMorrey spacesNon-homogeneous spacesTrace inequalityTwo-weight inequality
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Divisions:	08. Fakultas Sains dan Teknologi > Matematika
Creators:	Creators NIM Eridani NIDN0001096904 Vakhtang Kokilashvili UNSPECIFIED Alexander Meskhi UNSPECIFIED
Depositing User:	Mr Vega Andi Budiman
Date Deposited:	08 Sep 2020 00:15
Last Modified:	08 Sep 2020 02:12
URI:	http://repository.unair.ac.id/id/eprint/98528
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