JournalszaaVol. 21, No. 3pp. 681–690

Potential-Type Operators in Lp(x)L^{p(x)} Spaces

  • David E. Edmunds

    University of Sussex, Brighton, United Kingdom
  • Alexander Meskhi

    Georgian Acadademy of Sciences, Tbilisi, Georgia
Potential-Type Operators in $L^{p(x)}$ Spaces cover
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In this paper we derive weight inequalities for one-sided and Riesz potentials in Lp(x)L^{p(x)} spaces under the condition that pp satisfies a weak Lipschitz condition. Compactness of these operators in Lp(x)L^{p(x)} spaces is also established.

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David E. Edmunds, Alexander Meskhi, Potential-Type Operators in Lp(x)L^{p(x)} Spaces. Z. Anal. Anwend. 21 (2002), no. 3, pp. 681–690

DOI 10.4171/ZAA/1102