The paper proves solvability of div u = f in Hardy, BMO, and Lipschitz spaces for p greater than n/(n+1), and a Korn inequality in Hardy-Sobolev spaces.
, Saksman, E., Pointwise characterizations of Hard y-Sobolev functions, Mathemat- ical Research Letters 15, 727–744 (2006)
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Solutions of the divergence equation in Hardy and lipschitz spaces
The paper proves solvability of div u = f in Hardy, BMO, and Lipschitz spaces for p greater than n/(n+1), and a Korn inequality in Hardy-Sobolev spaces.