A description of interpolation spaces for quasi-Banach couples by real $K$-method

Autor: Astashkin, Sergey V., Nilsson, Per G.
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s13398-022-01359-6
Popis: The main aim of this paper is to develop a general approach, which allows to extend the basics of Brudnyi-Kruglyak interpolation theory to the realm of quasi-Banach lattices. We prove that all $K$-monotone quasi-Banach lattices with respect to a $L$-convex quasi-Banach lattice couple have in fact a stronger property of the so-called $K(p,q)$-monotonicity for some $0
Databáze: arXiv