The Weighted Inequalities of n-Dimensional Hausdorff Operators

2021 ◽  
Vol 11 (05) ◽  
pp. 790-801
Author(s):  
红秀 周
Keyword(s):  
Weighted Inequalities ◽  
Hausdorff Operators

scholarly journals Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces

2019 ◽  
Vol 106 (1-2) ◽  
pp. 20-37 ◽  
Author(s):  
N. M. Chuong ◽  
D. V. Duong ◽  
K. H. Dung
Keyword(s):  
Hardy Spaces ◽  
Weighted Inequalities ◽  
Hausdorff Operators

Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

2020 ◽  
pp. 39-62
Author(s):  
Nguyen Minh Chuong ◽  
◽  
Dao Van Duong ◽  
Nguyen Duc Duyet ◽  
◽  
...  
Keyword(s):  
Heisenberg Group ◽  
Weighted Estimates ◽  
Hausdorff Operators

scholarly journals Hadamard k-fractional inequalities of Fejér type for GA-s-convex mappings and applications

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Hui Lei ◽  
Gou Hu ◽  
Zhi-Jie Cao ◽  
Ting-Song Du
Keyword(s):  
Lower Bounds ◽  
Hypergeometric Functions ◽  
Upper And Lower Bounds ◽  
Weighted Inequalities ◽  
Convex Mappings ◽  
Special Means

Abstract The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to geometrically symmetric mappings. Moreover, we give the upper and lower bounds for the weighted inequalities via products of two different mappings. Some applications of the presented results to special means are also provided.

scholarly journals The unboundedness of Hausdorff operators on quasi‐Banach spaces

2021 ◽  
Author(s):  
Weichao Guo ◽  
Jianmiao Ruan ◽  
Guoping Zhao
Keyword(s):  
Banach Spaces ◽  
Hausdorff Operators

scholarly journals Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

2020 ◽  
Vol 18 (1) ◽  
pp. 496-511
Author(s):  
Amna Ajaib ◽  
Amjad Hussain
Keyword(s):  
Heisenberg Group ◽  
Herz Spaces ◽  
Hausdorff Operator ◽  
Hausdorff Operators

Abstract In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.

Weighted inequalities and applications to best local approximation in Luxemburg norm

2004 ◽  
Vol 20 (3) ◽  
pp. 265-280 ◽  
Author(s):  
H. H. Cuenya ◽  
M. D. Lorenzo ◽  
C. N. Rodriguez
Keyword(s):  
Local Approximation ◽  
Weighted Inequalities ◽  
Luxemburg Norm ◽  
Best Local Approximation
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