5 papers · 1 filter
Sharp median testing and sparse criteria for generalized \(BMO\) spaces
Saeed Hashemi Sababe
We study generalized \(BMO\)-type spaces associated with a normalized family of local quasi-Banach function spaces \(\mathbb X=\{X_Q\}_{Q\subset\mathbb R^n}\). For such a family we…
Arens Products and Asymptotic Structures on Chébli-Trimèche Hypergroups under Low Regularity Conditions
Saeed Hashemi Sababe
We investigate the Arens products on the second duals of convolution algebras associated with Chébli--Trimèche hypergroups, particularly focusing on the left and right topologica…
Quantitative cyclicity, stability, and geometric analysis in weighted Besov spaces
Saeed Hashemi Sababe, Amir Baghban
We introduce new quantitative measures for cyclicity in radially weighted Besov spaces, including the Drury-Arveson space, by defining cyclicity indices based on potential theory a…
Brezis-Van Schaftingen-Yung Inequalities Beyond the Classical Setting
Saeed Hashemi Sababe
In this paper, we extend the framework of Brezis--Van Schaftingen--Yung type inequalities in metric measure spaces by exploring several novel directions. First, we establish finite…
-Theory and Noncommutative Geometry in Quantum Harmonic Analysis
Saeed Hashemi Sababe, Ismail Nikoufar
Quantum harmonic analysis extends classical harmonic analysis by integrating quantum mechanical observables, replacing functions with operators and classical convolution structures…