Premium
The Hardy–Littlewood Maximal Function and Weighted Lorentz Spaces
Author(s) -
Carro María J.,
Soria Javier
Publication year - 1997
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610796004462
Subject(s) - lorentz transformation , hardy space , mathematics , maximal function , lorentz space , pure mathematics , inequality , function (biology) , mathematical analysis , physics , classical mechanics , evolutionary biology , biology
We study the boundedness of the Hardy–Littlewood maximal function in weighted Lorentz spaces, using some new techniques on distribution and rearrangement functions. Our goal is to give a unified version of some well‐known weighted inequalities in ℝ n and ℝ + , showing the relation between the theories.