Boundedness ofp-Adic Hardy Operators and Their Commutators onp-Adic Central Morrey and BMO Spaces

Abstract

We obtain the sharp bounds ofp-adic Hardy operators onp-adic central Morrey spaces andp-adicλ-central BMO spaces, respectively. We also establish theλ-central BMO estimates for commutators ofp-adic Hardy operators onp-adic central Morrey spaces.

Estimates for Commutators of Bilinear Fractionalp-Adic Hardy Operator on Herz-Type Spaces

“…The commutator estimates of fractional Hardy-type operators on Herz spaces were obtained in [30,32]. The articles [33,34] are also important with regard to the study of p-adic Hardy operators on function 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…”

“…Fu et al in [30] acquired the optimal bounds of p-adic Hardy operator on L q (Q n p ). On the central Morrey spaces, the p-adic Hardytype operators and their commutators are discussed in [16]. In this link, see also [6,7,14,27].…”

The boundedness of commutators of rough p-adic fractional Hardy type operators on Herz-type spaces

“…Fu et al in [9], fixed the optimal bounds of p-adic Hardy operator on L q (Q n p ). On the central Morrey space the p-adic Hardy-type operators and their commutators were discussed in [37]. In this connection see also [19,21,25].…”