The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces
Lihua Peng ; Yong Jiao
Studia Mathematica, Tome 231 (2015), p. 189-202 / Harvested from The Polish Digital Mathematics Library
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We introduce the minimal operator on weighted grand Lebesgue spaces, discuss some weighted norm inequalities and characterize the conditions under which the inequalities hold. We also prove that the John-Nirenberg inequalities in the framework of weighted grand Lebesgue spaces are valid provided that the weight function belongs to the Muckenhoupt Ap class.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285635 
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Lihua Peng; Yong Jiao. The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces. Studia Mathematica, Tome 231 (2015) pp. 189-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8070-1-2016/