Title of article
Sobolev spaces associated with Jacobi expansions
Author/Authors
Langowski، نويسنده , , Bartosz، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
19
From page
1533
To page
1551
Abstract
We define and study Sobolev spaces associated with Jacobi expansions. We prove that these Sobolev spaces are isomorphic to Jacobi potential spaces. As a technical tool, we also show some approximation properties of Poisson–Jacobi integrals.
Keywords
Poisson–Jacobi integral , Sobolev space , Maximal operator , Potential space , Jacobi expansion
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564863
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