supported by the National Natural Science Foundation of China(Grant No.12201500);the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);the Young Teachers’Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07).
The aim of this paper is to establish the boundedness of bilinear pseudodifferential operator T_(σ) and its commutator[b_(1),b_(2),T_(σ)]generated by T_(σ) and b_(1),b_(2) BMO(R^(n))on generalized fractional weight...
supported by the National Natural Science Foundation of China(Grant No.11761026);Guangxi Natural Science Foundation(Grant No.2020GXNSFAA159085).
In this paper,we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of two weighted Herz spaces.
The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces Kq α,p(ω1,ω2) are considered. The boundednessof the commutators generated by BMO functions and param...
Let T1 be a singular integral with non-smooth kernel or ±I, let T2 and T4 be the linear operators and let T3 = ± I. Denote the Toeplitz type operator by Tb = T1M^b Ia T2 + T3IaMbT4,where M^bf = bf, and Ib is the fr...
supported by NSF of China (Grant No. 11471033);NCET of China (Grant No. NCET-11-0574);the Fundamental Research Funds for the Central Universities (FRF-TP-12-006B)
Let T be the singular integral operator with variable kernel, T* be the adjoint of T and T# be the pseudo-adjoint of T. Let TIT2 be the product of T1 and T2, T1 o T2 be the pseudo product of T1 and T2. In this paper,...
supported by the NNSF (10961015, 11261023) of China;the Jiangxi Natural Science Foundation of China (20122BAB201011), GJJ12203
In this note, the author prove that maximal Bocher-Riesz commutator Bδ,*^b generated by operator Bδ,* and function b∈ BMO(ω) is a bounded operator from L^p(μ) into L^p(ν), where w∈ (μν^- 1)^1/p,μ...
supported by NSFC (No. 11101001 and No. 11201003);Education Committee of Anhui Province (No. KJ2011A138 and No. KJ2012A133)
Our aim in the present paper is to prove the boundedness of commutators on Morrey spaces with variable exponent. In order to obtain the result, we clarify a relation between variable exponent and BMO norms.
Supported by NSFC (No. 10901043, 10871173, 11026104)
In this paper, we consider a class of Banach space valued singular integrals. The Lp boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we ge...
supported by National Natural Science Foundation funds youth project 10701010;the Young Teachers Program of Anhui province (2006jql042);Young Teachers Program of Anhui Normal Universiy(2006xqn48);supported by the Fundamental Research Funds for Central Universities
Parabolic sections were introduced by Huang[1]to study the parabolic Monge Ampere equation. In this note, we introduce the generalized parabolic sections P and define BMO^qp spaces related to these sections. We then e...