On a class of interpolation inequalities on the 2D sphere

Autor:	Ilyin, Alexei, Zelik, Sergey
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We prove estimates for the $L^p$-norms of systems of functions and divergence free vector functions that are orthonormal in the Sobolev space $H^1$ on the 2D sphere. As a corollary, order sharp constants in the embedding $H^1\hookrightarrow L^q$, $q<\infty$, are obtained in the Gagliardo--Nirenberg interpolation inequalities.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.12414 Zobrazit plný text záznamu View this record from Arxiv