The boundedness of commutators of rough p-adic fractional Hardy type operators on Herz-type spaces
نویسندگان
چکیده
Abstract In this paper, we obtain some inequalities about commutators of a rough p -adic fractional Hardy-type operator on Herz-type spaces when the symbol functions belong to two different function spaces.
منابع مشابه
Bilinear Operators on Herz-type Hardy Spaces
The authors prove that bilinear operators given by finite sums of products of Calderón-Zygmund operators on Rn are bounded from HK̇11 q1 × HK̇ α2,p2 q2 into HK̇ q if and only if they have vanishing moments up to a certain order dictated by the target space. Here HK̇ q are homogeneous Herz-type Hardy spaces with 1/p = 1/p1 +1/p2, 0 < pi ≤ ∞, 1/q = 1/q1 +1/q2, 1 < q1, q2 < ∞, 1 ≤ q < ∞, α = α1 + α2 a...
متن کاملEndpoint boundedness for multilinear integral operators of some sublinear operators on Herz and Herz type Hardy spaces
The purpose of this paper is to study the endpoint boundedness properties of some multilinear operators related to certain integral operators on Herz and Herz type Hardy Spaces. The operators include Littlewood-Paley operator and Marcinkiewicz operator.
متن کاملWeighted Multilinear Hardy Operators on Herz Type Spaces
This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained resul...
متن کاملBoundedness for Multilinear Littlewood-Paley Operators on Hardy and Herz-Hardy Spaces
Let T be a Calderon-Zygmund operator, a classical result of Coifman, Rochberg and Weiss (see [7]) states that the commutator [b, T ] = T (bf)−bTf (where b ∈ BMO(Rn)) is bounded on Lp(Rn) for 1 < p < ∞; Chanillo (see [2]) proves a similar result when T is replaced by the fractional integral operator. However, it was observed that [b, T ] is not bounded, in general, from Hp(Rn) to Lp(Rn) for p ≤ ...
متن کاملBoundedness of Marcinkiewicz Integrals with Rough Kernel on the Herz-Type Spaces
In this note, it is proved that the Marcinkiewicz integral with rough kernel defined by
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2021
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-021-02650-7