The unboundedness of Hausdorff operators on quasi‐Banach spaces
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7716
Abstract: In this note, we show that the Hausdorff operator $H_{\Phi}$ is unbounded on a large family of Quasi-Banach spaces, unless $H_{\Phi}$ is a zero operator. read more here.
Keywords: hausdorff operators; unboundedness hausdorff; quasi banach; banach spaces ... See more keywords
Powers of quasi-Banach lattices and orthogonally additive polynomials
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.09.019
Abstract: Abstract The paper aims to examine convexity and concavity conditions for homogeneous orthogonally additive polynomials in quasi-Banach lattices. We characterize ( p , q ) -convex quasi-Banach lattice by the property that every positive orthogonally… read more here.
Keywords: banach lattices; powers quasi; quasi banach; additive polynomials ... See more keywords
Kantorovich–Wright integration and representation of quasi-Banach lattices
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.02.027
Abstract: Abstract The purpose of this article is to give some applications of the purely order based Kantorovich–Wright integration to functional representation of quasi-Banach lattices as well as to reveal its interrelations with the Bartle–Dunford–Schwartz topological… read more here.
Keywords: banach lattices; integration; wright integration; kantorovich wright ... See more keywords
The Definition of a Self-Similar function in Quasi-Banach Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Notes"
DOI: 10.1134/s0001434619110348
Abstract: The definition of a self-similar function is extended to quasi-Banach Lebesgue spaces. A sufficient condition for a function with given self-similarity parameters to lie in some such space is given. read more here.
Keywords: self similar; quasi banach; similar function; definition self ... See more keywords