Herz-type Sobolev and Bessel potential spaces and their applications |
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Authors: | Shanzhen Lu Dachun Yang |
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Affiliation: | (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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