Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Author: Langowski, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147141
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions / B. Langowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 29 назв. — англ.

We apply a symmetrization procedure to the setting of Jacobi expansions and study potential spaces in the resulting situation. We prove that the potential spaces of integer orders are isomorphic to suitably defined Sobolev spaces. Among further results, we obtain a fractional square function charact...