Sobolev inequalities with symmetry


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84009

Title:	Sobolev inequalities with symmetry
Authors:	Cho, Yonggeun Browse this author
Authors:	Ozawa, Tohru Browse this author
Keywords:	Sobolev inequality
	function space with radial symmetry
	angular regularity
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	859
Start Page:	1
End Page:	8
Abstract:	In this paper we derive some Sobolev inequalities for radially symmetric functions in ˙H s with 1 2 < s < n 2 . We show the end point case s = 1 2 on the homogeneous Besov space ˙B 12 2;1. These results are extensions of the well-known Strauss’ inequality [11]. Also non-radial extensions are given, which show that compact embeddings are possible in some Lp spaces if a suitable angular regularity is imposed.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69668
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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