A connection between Fourier and Schur multipliers |
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Authors: | Victor Olevskii |
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Institution: | (1) Department of Theoretical Mathematics, The Weizmann Institute of Science, POB 26, 76100 Rehovot, Israel |
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Abstract: | We construct a continuous functionf on the circle such thatf is a Fourier multiplier inl
p
, 1<p< , but (x, y)=f(x–y) is not a Schur multiplier inS
p
,p 2. |
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Keywords: | Primary 42A45 Secondary 47B10 47B49 |
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