Points of nonsquareness of Lorentz spaces Γp,w

Paweł Kolwicz; Agata Panfil

doi:10.1186/1029-242X-2014-467

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Title

Points of nonsquareness of Lorentz spaces Γ_p,_w

Authors

Paweł Kolwicz (WE) ^{[ 1 ][ P ]}
Agata Panfil

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Year of publication

2014

Published in

Journal of Inequalities and Applications

Journal year: 2014 | Journal number: 26 November 2014

Article type

scientific article

Publication language

english

Keywords

EN

points of nonsquareness
Lorentz spaces of maximal functions
local monotonicity structure of Banach lattices
points of order continuity

Abstract

EN Criteria for nonsquare points of the Lorentz spaces of maximal functions Γ_p,w are presented under an arbitrary (also degenerated) nonnegative weight function w. The criteria for nonsquareness of Lorentz spaces Γ_p,w and of their subspaces (Γ_p,w)_a of all order continuous elements, proved directly in (Kolwicz and Panfil in Indag. Math. 24:254-263, 2013), are deduced.

Pages (from - to)

1 - 23

DOI

10.1186/1029-242X-2014-467

URL

https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2014-467

Ministry points / journal

30

Impact Factor

0,773

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