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.
On potential spaces related to Jacobi expansions
Variable exponent Sobolev spaces associated with Jacobi expansions
Lusin area integrals related to Jacobi expansions
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