Variable exponent Sobolev spaces associated with Jacobi expansions

A.J. Castro; A. Sanabria; J.J. Betancor; R. Scotto; V. Almeida

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Variable exponent Sobolev spaces associated with Jacobi expansions

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arxiv 1410.3642 v2 pith:3NENGRFR submitted 2014-10-14 math.CA math.FA

Variable exponent Sobolev spaces associated with Jacobi expansions

V. Almeida , J.J. Betancor , A.J. Castro , A. Sanabria , R. Scotto This is my paper

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keywords spacesexponentvariablesobolevassociatedexpansionsjacobicharacterized

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In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent potential spaces and as variable exponent Triebel-Lizorkin type spaces.

Variable exponent Sobolev spaces associated with Jacobi expansions

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