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math.FA2020★ 1 cited
Normal trace for vector fields of bounded mean oscillation
Yoshikazu Giga, Zhongyang Gu
We introduce various spaces of vector fields of bounded mean oscillation () defined in a domain so that normal trace on the boundary is bounded when its divergence is well con…
math.FA2013
Lorentz space estimates for vector fields with divergence and curl in Hardy spaces
Yoshikazu Giga, Xingfei Xiang
In this note, we establish the estimate on the Lorentz space for vector fields in bounded domains under the assumption that the normal or the tangential component of the…