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Ces{a}ro exponents of mixed norm spaces.
- Source :
- Proceedings of the American Mathematical Society; Sep2023, Vol. 151 Issue 9, p3935-3948, 14p
- Publication Year :
- 2023
-
Abstract
- In 1934, G. H. Hardy and J. E. Littlewood calculated [Proc. London Math. Soc. (2) 36 (1934), pp. 516–531] the optimal Cesàro exponent for Hardy spaces. In this paper we calculate it for mixed norm spaces, hence including the Bergman spaces in particular. The main technical challenge lies in the analysis of the example needed for the critical case. [ABSTRACT FROM AUTHOR]
- Subjects :
- HARDY spaces
EXPONENTS
BERGMAN spaces
MATHEMATICS
BASIC needs
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 164548496
- Full Text :
- https://doi.org/10.1090/proc/16441