“…when β � 0, the fractional p-adic Hardy and adjoint Hardy operator reduces to p-adic Hardy and adjoint Hardy operator. Some other papers showing the boundedness of p-adic Hardy-type operators are included [19][20][21][22][23][24][25][26].…”
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.
“…when β � 0, the fractional p-adic Hardy and adjoint Hardy operator reduces to p-adic Hardy and adjoint Hardy operator. Some other papers showing the boundedness of p-adic Hardy-type operators are included [19][20][21][22][23][24][25][26].…”
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.
“…They also established the operator norm. Furthermore, weighted p-adic Hardy operator and its commutator on p-adic central Morrey spaces were discussed in [34]. Clearly, if ψ ≡ 1 and n = 1, we get the p-adic Hardy operator on Q p which is defined by…”
The present article focuses on the bounds of weighted multilinear p-adic Hardy operators on the product of Herz spaces and Morrey-Herz spaces. The corresponding norm on both the cases are also obtain.
“…For example, Wu et al [44] and Guo et al [19] considered the sharp constants for Hardy operators and their dual operators on Heisenberg group in the linear and multilinear situations. Fu et al [16,45] investigated sharp constants for Hardy-type operators on p-adic field. Maligranda et al [34], Guo and Zhao [20], Fan and Zhao [9] studied Hardy q-type integral inequalities.…”
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