Increasingly global convergence of Hermite serie

Autor:	Kerman, Ron, Musil, Vít
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We study the convergence of the Hermite series of measurable functions on the real line. We characterize the norm convergence of truncated partial Hermite sums in rearrangement invariant spaces provided that the truncations vanish sufficiently slowly. Moreover, we provide the necessary and sufficient conditions for convergence in the Orlicz modular.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.15917 Zobrazit plný text záznamu View this record from Arxiv