Two weighted inequalities for operators associated to a critical radius function

2020 ◽  
Vol 64 (2) ◽  
pp. 227-259
Author(s):  
B. Bongioanni ◽  
E. Harboure ◽  
P. Quijano
Keyword(s):  
Critical Radius ◽  
Weighted Inequalities ◽  
Inequalities For Operators ◽  
Radius Function

scholarly journals Weighted Weak Local Hardy Spaces Associated with Schrödinger Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Hua Zhu
Keyword(s):  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Critical Radius ◽  
Schrödinger Operators ◽  
Riesz Transforms ◽  
Schrodinger Operators ◽  
Local Hardy Spaces ◽  
Radius Function

We characterize the weighted weak local Hardy spacesWhρp(ω)related to the critical radius functionρand weightsω∈A∞ρ,∞(Rn)which locally behave as Muckenhoupt’s weights and actually include them, by the atomic decomposition. As an application, we show that localized Riesz transforms are bounded on the weighted weak local Hardy spaces.

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.

Monocrystalline Fiber Growth Technique: New Critical Radius Considerations

2021 ◽  
pp. 126199
Author(s):  
Jorge-Enrique Rueda-P ◽  
J.E.F.S. Rodrigues ◽  
Antonio Carlos Hernandes
Keyword(s):  
Critical Radius ◽  
Growth Technique ◽  
Fiber Growth
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