Open AccessPotential-Type Operators in $L^{p(x)}$ Spaces
Author(s) -
David E. Edmunds,
Alexander Meskhi
Publication year - 2002
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1102
Subject(s) - type (biology) , mathematics , pure mathematics , geology , paleontology
In this paper we derive weight inequalities for one-sided and Riesz potentials in L spaces under the condition that p satisfies a weak Lipschitz condition. Compactness of these operators in L spaces is also established.
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