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- Title
Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions.
- Authors
Nowak, Adam; Roncal, Luz; Szarek, Tomasz Z.
- Abstract
We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions $ M^{ \alpha, \beta}_t $ to be bounded on power weighted Lebesgue spaces. Moreover, we also obtain the corresponding endpoint results in terms of optimal power weighted weak and restricted weak type estimates. All this complements significantly previous partial results existing in the literature.
- Subjects
OPERATOR functions; RADON transforms; MAXIMAL functions
- Publication
Communications on Pure & Applied Analysis, 2023, Vol 22, Issue 7, p1
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2023065