Real-Variable Theory of Local Variable Hardy Spaces

Autor:	Tan, Jian
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs 42B30
Druh dokumentu:	Working Paper
Popis:	In this paper, we give a complete real-variable theory of local variable Hardy spaces. First, we present various real-variable characterizations in terms of several local maximal functions. Next, the new atomic and the finite atomic decomposition for the local variable Hardy spaces are established. As an application, we also introduce the local variable Campanato space which is showed to be the dual space of the local variable Hardy spaces. Analogous to the homogeneous case, some equivalent definitions of the dual of local variable Hardy spaces are also considered. Finally, we show that the boundedness of inhomogeneous Calder\'on-Zygmund singular integrals and local fractional integrals on local variable Hardy spaces and their duals. Comment: 40 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.03387 Zobrazit plný text záznamu View this record from Arxiv