Herz-type Sobolev and Bessel potential spaces and their applications |
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| Authors: | Shanzhen Lu Dachun Yang |
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| Institution: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China |
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| Abstract: | The Herz-type Sobolev spaces are introduced and the Sobolev theorem is established. The Herz-type Bessel potential spaces
and the relation between the Herz-type Sobolev spaces and Bessel potential spaces are discussed. As applications of these
theories, some regularity results of nonlinear quantities appearing in the compensated compactness theory on Herz-type Hardy
spaces are given.
Project supported by the National Natural Science Foundation of China. |
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| Keywords: | Herz space Hardy space Sobolev space Bessel potential space compensated compactness theory regularity |
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