the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);Master Foundation of Northwest Normal University(Grant No.2022KYZZ-S121).
Let(X,d,μ)be a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition.In this setting,the authors prove that the commutator M_(b)^(α)formed by b∈RBMO(...
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 main goal of this paper is to establish the boundedness of bilinear strongly singular operator T^(-)and its commutator Tb_(1),b_(2)on generalized Morrey spaces M_(p)^(u)(μ)over non-homogeneous metric measure spac...
Let μ be a non-negative Radon measure on Rd which only satisfies the following growth condition that there exists a positive constant C such that μ(B(x,r)) ≤ Crn?for all x∈ Rd, r > 0 and some fixed n ∈ (0,d]. Thi...
supported by the National Natural Science Foundation of China(No.11671414)
Let(X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hyt?nen. In this paper, the authors obtain the boundedness of the commutators of θ-...
supported by the National Natural Science Foundation of China(Nos.11271330,11261023,11461033,11401269);the Jiangxi Provincial Natural Science Foundation of China(No.20142BAB201003)
In this paper, some endpoint estimates for the generalized multilinear fractional integrals Ia,m on the non-homogeneous metric spaces are established.
supported by NSF of Anhui Province(No.1608085QA12);NSF of Education Committee of Anhui Province(Nos.KJ2016A506 and KJ2017A454);Excellent Young Talents Foundation of Anhui Province(No.GXYQ2017070);Doctoral Scientific Research Foundation of Chaohu University(No.KYQD-201605);Scientific Research Project of Chaohu University(No.XLY-201501)
In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderon-Zygmund operators with RBMO(μ) functions on non-homogeneous metric measure spaces is obtained.