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Paley's hypothesis

✍ Scribed by N. V. Govorov


Publisher
Springer US
Year
1969
Tongue
English
Weight
213 KB
Volume
3
Category
Article
ISSN
0016-2663

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We define the Laplace transformation for elements of Colombeau's spaces \(\mathscr{\varphi}_{c}\left(\mathbf{R}^{n}\right), \mathscr{G}_{c}^{x}\left(\mathbf{R}^{n}\right)\) and \(\mathscr{G}_{1}(\Gamma)\), where \(\Gamma\) is a cone. We obtain, in Theorems 1,2 , and 4 , the "expected" Paley-Wiener t

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## Abstract In this paper, weak (1,1) and __L^p^__ estimates for the parabolic Littlewood–Paley operators on some homogeneous spaces are established, which are extensions of known results. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)