Estimates for Commutators of Bilinear Fractional$p$-Adic Hardy Operator on Herz-Type Spaces

Abstract

In the current article, we investigate the boundedness of commutators of the bilinear fractional p -adic Hardy operator on p -adic Herz spaces and p -adic Morrey-Herz spaces by considering the symbol function from central bounded mean oscillations and Lipschitz spaces.

Weighted Estimates for Commutator of Roughp-Adic Fractional Hardy Operator on Weightedp-Adic Herz–Morrey Spaces

“…Many researchers have also paid relentless attention to harmonic analysis in the p-adic fields [5][6][7][8][9][10][11]. e present paper can be considered as an extension of investigation of Hardy-type operators started in [6,7,[12][13][14][15][16]. e one-dimensional Hardy operator…”

Boundedness for Commutators of Rough p -Adic Hardy Operator on p -Adic Central Morrey Spaces

“…In this day and age, the Hardy operator has received a relentless consideration, see for example [3][4][5][6][7]. Moreover, the publications [8][9][10][11][12] and the references therein will do world of good to comprehend the Hardy type operators.…”

Generalized Hausdorff Operators on K ̇ α , q

“…They also characterize the corresponding Herz-type Hardy spaces by atomic decomposition. Motivated by this result concerning Herz spaces (see also [12][13][14] [10]. As applications, we provide necessary and sufficient conditions for Dunkl-Cesàro operator and sufficient conditions for Dunkl-Hardy operator to be bounded on the homogeneous weighted Herz space _ K β,p α,q ðℝÞ.…”