A Christ-Kiselev maximal theorem in quasi-Banach function lattices

Autor:	Mastyło, Mieczysław, Sinnamon, Gord
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis 42B25 (Primary) 46E30 46B42 (Secondary)
Druh dokumentu:	Working Paper
Popis:	A Christ-Kiselev maximal theorem is proved for linear operators between quasi-Banach function lattices satisfying certain lattice geometrical conditions. The result is further explored for weighted Lorentz spaces, classical Lorentz spaces, and Wiener amalgams of Lebesgue function and sequence spaces. Extensions are made to K\"othe dual operators and to operators on interpolation spaces of quasi-Banach function lattices. Several applications to maximal Fourier operators are presented.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.00119 Zobrazit plný text záznamu View this record from Arxiv