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LORENTZ SPACE ESTIMATES FOR VECTOR FIELDS WITH DIVERGENCE AND CURL IN HARDY SPACES
並列摘要
In this note, we establish the estimate on the Lorentz space 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) norm of the vector field can be controlled by the norms of its divergence and curl in the atomic Hardy spaces and the L^1 normof the vector field itself.
並列關鍵字
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