“…On the other hand, the fractional Hardy operator is obtained by merely writing (6). The weak type estimates for the fractional Hardy type operators has also spotlighted many researchers in the past, see for example [2,13,15,16,20,37,38].…”
The current paper establishes the sharp weak bounds of p-adic fractional Hardy operator. Furthermore, optimal weak type estimates for p-adic Hardy operator on central Morrey space are also acquired.
“…On the other hand, the fractional Hardy operator is obtained by merely writing (6). The weak type estimates for the fractional Hardy type operators has also spotlighted many researchers in the past, see for example [2,13,15,16,20,37,38].…”
The current paper establishes the sharp weak bounds of p-adic fractional Hardy operator. Furthermore, optimal weak type estimates for p-adic Hardy operator on central Morrey space are also acquired.
“…On the other hand, the fractional Hardy operator and its adjoint are obtained by merely interchanging 8). e weak and strong type optimal bounds for the fractional Hardy and adjoint Hardy operator have also spotlighted many researchers in the past, see [15][16][17][18].…”
In this paper, we introduce the fractional p-adic Hardy operators and its conjugate operators and obtain its optimal weak type estimates on the p-adic Lebesgue product spaces.
“…On the other hand, the fractional Hardy operator is obtained by merely interchanging (1.5). The weak and strong type optimal bounds for the fractional Hardy and adjoint Hardy operator has also spotlighted many researchers in the past, see for example [12,14,15,31,32].…”
In this article, we establish sharp weak endpoint estimates for padic fractional Hardy operator. In addition, sharp weak bounds for p-adic Hardy operator on p-adic central Morrey space are also obtained.
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