Some results for the commutators of generalized Hausdorff operator

Abstract

In this paper, we study commutator of generalized Hausdorff operator on function spaces. We mainly discuss the continuity criteria for such commutator operator when the symbol functions are either from central-BM O or Lipschitz class of functions.

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

“…Over the years, Hardy operator has gained a significant amount of attention due to its boundedness properties [19][20][21][22]. For complete understanding of Hardy-type operators, we refer the interested readers to study [12,[23][24][25][26][27][28][29] and the references therein.…”

Estimates for the Commutators of p-Adic Hausdorff Operator on Herz-Morrey Spaces

“…The boundedness of the analog of H b Φ,A on R n and its special cases when A(t) = diag[1/|t|, 1/|t|, ..., 1/|t|] were discussed in [31][32][33][34][35][36][37]. However, this topic still needs further considerations in the sense of its boundedness on p-adic function spaces.…”