Geodesic
The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces
Lihua Peng1 ; Yong Jiao1
1School of Mathematics and Statistics Central South University 410085 Changsha, China
Studia Mathematica, Tome 229 (2015) no. 3, pp. 189-202
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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 $A_p$ class.
DOI : 10.4064/sm8070-1-2016
Keywords: introduce minimal operator weighted grand lebesgue spaces discuss weighted norm inequalities characterize conditions under which inequalities prove john nirenberg inequalities framework weighted grand lebesgue spaces valid provided weight function belongs muckenhoupt class

Lihua Peng  1   ; Yong Jiao  1

1 School of Mathematics and Statistics Central South University 410085 Changsha, China 
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Lihua Peng; Yong Jiao. The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces. Studia Mathematica, Tome 229 (2015) no. 3, pp. 189-202. doi: 10.4064/sm8070-1-2016

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