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Littlewood-paley theorem and multipliers on the quantum torus

โœ Scribed by Chen Zeqian; Yin Zhi


Book ID
114192373
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
208 KB
Volume
32
Category
Article
ISSN
0252-9602

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๐Ÿ“œ SIMILAR VOLUMES


Littlewoodโ€“Paley and Multiplier Theorems
โœ T.S. Quek ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 222 KB

We extend the LittlewoodแސPaley theorem to L G , where G is a locally w compact Vilenkin group and w are weights satisfying the Muckenhoupt A p condition. As an application we obtain a mixed-norm type multiplier result on p ลฝ . L G and prove the sharpness of our result. We also obtain a sufficient co