Weighted weak-type iterated and bilinear Hardy inequalities

被引:4
作者
Garcia, V. Garcia [1 ]
Salvador, P. Ortega [1 ]
机构
[1] Univ Malaga, Fac Ciencias, Anal Matemat, Malaga 29071, Spain
关键词
Bilinear Hardy inequalities; Iterated Hardy inequalities; Weighted weak-type inequalities; Weighted inequalities; Weights; PROOFS;
D O I
10.1016/j.jmaa.2023.127284
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We characterize the good weights for a certain weighted weak-type iterated Hardy inequality to hold. As a consequence, we get the characterizations of some weighted weak-type bilinear Hardy inequalities.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).
引用
收藏
页数:15
相关论文
共 39 条
[1]   Weighted bilinear Hardy inequalities [J].
Aguilar Canestro, M. Isabel ;
Ortega Salvador, Pedro ;
Ramirez Torreblanca, C. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) :320-334
[2]   WEIGHTED WEAK TYPE HARDY INEQUALITIES WITH APPLICATIONS TO HILBERT-TRANSFORMS AND MAXIMAL FUNCTIONS [J].
ANDERSEN, KF ;
MUCKENHOUPT, B .
STUDIA MATHEMATICA, 1982, 72 (01) :9-26
[3]  
[Anonymous], 1985, Springer Ser. Soviet Math.
[4]   SOME NEW ITERATED HARDY-TYPE INEQUALITIES AND APPLICATIONS [J].
Bernardis, A. L. ;
Ortega Salvador, Pedro .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (02) :577-594
[5]  
Bradley J. S., 1978, Canad. Math. Bull., V21, P405, DOI DOI 10.4153/CMB-1978-071-7.32
[6]  
Cruz-Uribe D, 2005, INT MATH RES NOTICES, V2005, P1849
[7]   WEIGHTED LORENTZ NORM INEQUALITIES FOR INTEGRAL-OPERATORS [J].
FERREYRA, EV .
STUDIA MATHEMATICA, 1990, 96 (02) :125-134
[8]   WEIGHTED NORM INEQUALITIES FOR THE GENERALIZED MULTILINEAR STIELTJES TRANSFORMATION [J].
Garcia Garcia, Victor ;
Ortega Salvador, Pedro .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (03) :759-773
[9]   Some New Iterated Hardy-Type Inequalities [J].
Gogatishvili, A. ;
Mustafayev, R. Ch ;
Persson, L-E .
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
[10]   THE TWO-WEIGHT HARDY INEQUALITY: A NEW ELEMENTARY AND UNIVERSAL PROOF [J].
Gogatishvili, Amiran ;
Pick, Lubos .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, :2875-2883