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Decomposition of Lebesgue Spaces

✍ Scribed by Catherine Huafei Yan


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
295 KB
Volume
135
Category
Article
ISSN
0001-8708

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## Abstract We study boundedness and compactness properties for the Weyl quantization with symbols in __L^q^__ (ℝ^2__d__^ ) acting on __L^p^__ (ℝ^__d__^ ). This is shown to be equivalent, in suitable Banach space setting, to that of the Wigner transform. We give a short proof by interpolation of Li