Weak And Strong Boundedness For P-adic Fractional Hausdorff Operator And Its Commutator

Abstract

In this paper, boundedness of Hausdorff operator on weak central Morrey space is obtained. Furthermore, we investigate the weak bounds of padic fractional Hausdorff Operator on weighted p-adic weak Lebesgue Space. We also obtain the sufficient condition of commutators of p-adic fractional Hausdorff Operator by taking symbol function from Lipschitz space. Moreover, strong type estimates for fractional Hausdorff Operator and its commutator on weighted p-adic Lorentz space are also acquired.

Boundedness of weighted multilinear $p$-adic Hardy operator on Herz type spaces

“…In the past few decades, p-adic analysis gained impeccable attraction in the field of p-adic harmonic analysis [19,20,21,22,26,28,29] and mathematical physics [30,32]. Moreover, p-adic analysis has tremendous applications in the likes of spring 1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan glass theory [2], string theory [31], quantum mechanics [32] and quantum gravity [1,3].…”