Optimal Weak Type Estimates for p-Adic Hardy Operators

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

“…where jEj H denotes the Haar measure of a measurable subset E of ℚ n p : In addition, it is not hard to see that jB γ ðaÞj = p nγ , jS γ ðaÞj = p nγ ð1 − p −n Þ, for any a ∈ ℚ n p . Recently, p-adic analysis has taken considerable attention in harmonic analysis defined on the p-adic field [3][4][5][6][7][8][9] and mathematical physics [10,11]. Furthermore, applications of p-adic analysis have been found in quantum gravity [12,13], string theory [14], spring glass theory [15], and quantum mechanics [11].…”

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

“…e p-adic analysis has cemented its role in the field of mathematical physics (see, for example, [2][3][4]). 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].…”

“…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

“…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].…”