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INHOMOGENEOUS PLANCHEREL–PÔLYA INEQUALITIES ON SPACES OF HOMOGENEOUS TYPE AND THEIR APPLICATIONS.
- Source :
-
Communications in Contemporary Mathematics . Apr2004, Vol. 6 Issue 2, p221-243. 23p. - Publication Year :
- 2004
-
Abstract
- In this paper, the authors establish the inhomogeneous Plancherel­Pôlya inequalities on spaces of homogeneous type by use of the inhomogeneous discrete Calderón reproducing formulas. As an application, the authors prove that the Lebesgue norms of the inhomogeneous Littlewood­Paley γ-function and S-function on spaces of homogeneous type are equivalent. All results are new even for Rn. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02191997
- Volume :
- 6
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Contemporary Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 12918815
- Full Text :
- https://doi.org/10.1142/S0219199704001318