3 papers
math.FA2026
Weighted Hardy inequalities involving supremum for decreasing sequences
TuÄçe Ãnver, Amiran Gogatishvili, Nurzhan Bokayev +1
In this paper, we provide a complete characterization of the weighted Hardy inequalities involving the supremum operator, restricted to the cone of non-increasing sequences, for al…
math.AP2026
Interior a priori estimate for higher order elliptic systems in Orlicz spaces
Amiran Gogatishvili, Pia Salerno, Lubomira Softova
We investigate singular integral operators with variable Calderón--Zygmund kernels and their commutators with functions on Orlicz spaces. After revisiting the classical $L^p…
math.FA2026
Rubio de Francia Extrapolation Theorem for Quasi non-increasing Sequences
Monika Singh, Amiran Gogatishvili, Rahul Panchal +1
We prove the discrete Rubio de Francia extrapolation theorem for a pair of quasi non-increasing sequences with weight class. Also, a weight characterization…