Endpoint multilinear restricted weak‐type extrapolation theorem
Abstract
Abstract In this paper, we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and Soria. Moreover, our main result is obtained on limited ranges of boundedness and, to this aim, we introduce a new limited‐range off‐diagonal extrapolation theorem in the context of restricted weights. In addition, as one of the applications, we prove endpoint estimates for certain bi‐sublinear maximal functions associated with the study of return time theorems in ergodic theory.
Fields of Study & Subjects
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 7
- Publication date
- 26 June 2026
- Language
- EN