LORENTZ SPACE ESTIMATES FOR VECTOR FIELDS WITH DIVERGENCE AND CURL IN HARDY SPACES

淡江大學機構典藏 > 淡江出版期刊 > 淡江數學期刊 > 第47卷第2期 > Item 987654321/109365

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Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109365

Title:	LORENTZ SPACE ESTIMATES FOR VECTOR FIELDS WITH DIVERGENCE AND CURL IN HARDY SPACES
Authors:	Giga, Yoshikazu;Xiang, Xingfei
Keywords:	Lorentz space estimate;divergence;curl;Hardy spaces
Date:	2016-06
Issue Date:	2017-01-17 10:06:20 (UTC+8)
Publisher:	淡江大學出版中心
Abstract:	In this note, we establish the estimate on the Lorentz space L(3/2,1)L(3/2,1) for vector fields in bounded domains under the assumption that the normal or the tangential component of the vector fields on the boundary vanishes. We prove that the L(3/2,1)L(3/2,1) norm of the vector field can be controlled by the norms of its divergence and curl in the atomic Hardy spaces and the L1L1 norm of the vector field itself.
Relation:	Tamkang Journal of Mathematics 47(2), pp.249-260
DOI:	10.5556/j.tkjm.47.2016.1932 全文
Appears in Collections:	[淡江數學期刊] 第47卷第2期

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