Wave front sets, local smoothing and Bourgain's circular maximal theorem (Q1198791)
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scientific article; zbMATH DE number 90886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wave front sets, local smoothing and Bourgain's circular maximal theorem |
scientific article; zbMATH DE number 90886 |
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Wave front sets, local smoothing and Bourgain's circular maximal theorem (English)
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16 January 1993
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The authors consider the maximal operators associated with circular means in two dimensions and their corresponding maximal operators. They obtain a new proof of Bourgain's circular maximal theorem [cf. \textit{J. Bourgain}, J. Anal. Mat. 47, 69-85 (1986; Zbl 0626.42012)] as well as a sharpening of known regularity results for the wave equation.
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maximal operators
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circular means
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Bourgain's circular maximal theorem
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regularity
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wave equation
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0.89199895
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0.8724663
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0.8722353
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0.85989606
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0.85984015
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0.8568232
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