The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces

• Autorzy: Lihua Peng , Yong Jiao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 229
• Numer: 3
• Strony: 189-202

Daty

wydano

2015

Twórcy

autor

Lihua Peng

• School of Mathematics and Statistics, Central South University, 410085 Changsha, China

autor

Yong Jiao

• School of Mathematics and Statistics, Central South University, 410085 Changsha, China

Identyfikatory

DOI

10.4064/sm8070-1-2016