supported by the Natural Science Foundation of China(12271134);the Shanxi Scholarship Council of China(2020–089);the Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province(20200019).
In this paper,by characterizing Carleson measures,we investigate a class of bounded Toeplitz operator between weighted Bergman spaces with Békolléweights over the half-plane for all index choices.
supported partly by the Natural Science Foundation from the Education Department of Anhui Province(KJ2017A847);The second author was supported by NSFC(11671039,11871101);NSFC-DFG(11761131002).
Let 0<β<1 andΩbe a proper open and non-empty subset of R^(n).In this paper,the object of our investigation is the multilinear local maximal operator Mβ,defined by M_(β)((f))(x)=sup_(Q(∈)xQ∈Fβ)Π_(i=1)^m1/|Q|∫_...
supported by Vietnam National Foundation for Science and Technology Development(NAFOSTED)under Grant No.101.02-2017.307
This paper is devoted to the quasilinear equation ■where p > 2,Ω is a(bounded or unbounded) domain of R^N,w_1,w_2 are nonnegative continuous functions and f is an increasing function. We establish a Liouville type t...
In this article, we consider the existence of positive radial solutions for Hessian equations and systems with weights and we give a necessary condition as well as a sufficient condition for a positive radial solution...
supported by the Natural Science Foundation of Henan Province(15A110050)
In this article, we consider existence and nonexistence of solutions to problem {-△pu+g(x,u)|↓△|^p=f in -Ω,u=0 on Ω with 1〈p〈∞ where f is a positive measurable function which is bounded away from 0 in Ω,...
In this paper, some weighted estimates with general weights are established for the m-linear Calderon-Zygmund operator and the corresponding maximal operator. It is proved that, ifp1,…,pm ∈ [1, ∞] and p ∈ (0, ∞...
supported by the National Natural Science Foundation of China10771032
By the Mountain Pass Theorem, we study existence and multiplicity of posi- tive solutions of p-laplacian equation of the form - △pu =λf (x, u), the nonlinearity f (x, u) grows as u^δ at infinity with a singular...
the National Natural Science Foundation of China(10771074,10726060);the Natural Science Foundation of Guangdong Province(04020077)
The Hardy-Sobolev inequality with general weights is established, and it is shown that the constant is optimal. The two weights in this inequality are determined by a Bernoulli equation. In addition, the authors obtai...
Supported by the Foundation of TY of China(10126028)
In this paper, a kind of new definitions of singular integral operators in the weighted L-2 space with the generalized Jacobi weights are given, then the boundedness in the weighted L-2 space, the relationships betwee...
This paper defines a class of singular integral operators (I) over tilde(wj) on L-wj(2) space, where wights w(j)(j = 1 - 4) are lour kinds of Chebyshev weights. The authors prove that (I) over tilde(wj) is an unique l...