4 papers
Characterization of the boundedness of the discrete Fractional maximal operator between weighted in Lorentz sequence spaces
Amiran Gogatishvili, Nurzhan A. Bokayev, Nurgul K. Kuzeubayeva
In this paper, we give the complete characterization of the boundedness of the discrete fractional maximal operator , defined on , , …
Weighted Hardy inequalities involving supremum for decreasing sequences
Tuğçe Ünver, 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…
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 …
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 o…