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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84188

Title: LORENTZ SPACE ESTIMATES FOR VECTOR FIELDS WITH DIVERGENCE AND CURL IN HARDY SPACES
Authors: GIGA, YOSHIKAZU Browse this author
XIANG, XINGFEI Browse this author
Keywords: Lorentz space estimate
divergence
curl
Hardy spaces.
Issue Date: 30-Oct-2013
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1044
Start Page: 1
End Page: 11
Abstract: In this note, we establish the estimate on the Lorentz space L(3=2; 1) for vector elds in bounded domains under the assumption that the normal or the tangential component of the vector elds on the boundary vanishing. We prove that the L(3=2; 1) norm of the vector eld can be controlled by the norms of its divergence and curl in the atomic Hardy spaces and the L1 norm of the vector eld itself.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69848
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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