scholarly journals Weighted inequalities for rough square functions through extrapolation

2002 ◽  
Vol 149 (3) ◽  
pp. 239-252 ◽  
Author(s):  
Javier Duoandikoetxea ◽  
Edurne Seijo
Keyword(s):  
Weighted Inequalities ◽  
Square Functions

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.

A remark on bilinear Littlewood–Paley square functions

2014 ◽  
Vol 176 (4) ◽  
pp. 615-622 ◽  
Author(s):  
P. K. Ratnakumar ◽  
Saurabh Shrivastava
Keyword(s):  
Square Functions

scholarly journals UMD-Valued Square Functions Associated with Bessel Operators in Hardy and BMO Spaces

2014 ◽  
Vol 81 (3) ◽  
pp. 319-374 ◽  
Author(s):  
Jorge J. Betancor ◽  
Alejandro J. Castro ◽  
Lourdes Rodríguez-Mesa
Keyword(s):  
Square Functions ◽  
Bessel Operators ◽  
Bmo Spaces
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