A class of unbounded Fourier multipliers on the unit complex ball (Q1724504)
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scientific article; zbMATH DE number 7022701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of unbounded Fourier multipliers on the unit complex ball |
scientific article; zbMATH DE number 7022701 |
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A class of unbounded Fourier multipliers on the unit complex ball (English)
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14 February 2019
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Summary: We introduce a class of Fourier multiplier operators \(M_b\) on \(n\)-complex unit sphere, where the symbol \(b \in H^s(S_\omega)\). We obtained the Sobolev boundedness of \(M_b\). Our result implies that the operators \(M_b\) take a role of fractional differential operators on \(\partial \mathbb{B}\).
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