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5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

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Description of the Riesz and Bessel potentials on Lp(.) spaces in terms of fractional derivatives
by
Alexandre Almeida
University of Aveiro
Coauthors: Stefan Samko

We characterize the spaces of Riesz and Bessel potentials on variable Lebesgue spaces via convergence of hypersingular integrals. This partially extends the known results for constant exponents to the variable exponent setting.

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Date received: April 9, 2005


Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # capg-64.