4 citations · 6 across the 8 of their papers we have counts for
8 papers
Weighted estimates of commutators for
Shunchao Long
We establish weighted inequalities for commutators of sublinear operators for all . For weights satisfying the doubling condition of order with an…
On estimate of operator for
Shunchao Long
Operators such as Carleson operator are known to be bounded on for all , but not from to weak- and from to for each , the object…
Littlewood-Paley Characterization for Musielak-Orlicz-Hardy Spaces Associated with Operators
Jiawei Shen, Zhitian Chen, Shunchao Long
Let be a space of homogeneous type. Assume that is an non-negative second-order self-adjoint operator on with (heart) kernel associated to the semigroup…
Differentiation of Integrals
Shunchao Long
No functions class for general measurable sets classes are known whose functions have the property of differentiability of integrals associated to such sets classes. In this paper,…
Some extensions of Hardy's integral inequalities to Hardy type spaces
Shunchao Long
In this paper some extensions of Hardy's integral inequalities to are established.
Convergence of Fourier series at or beyond endpoint
Shunchao Long
We consider several problems at or beyond endpoint in harmonic analysis. The solutions of these problems are related to the estimates of some classes of sublinear operators. To do…
Estimates at or beyond endpoint in harmonic analysis: Bochner-Riesz means and spherical means
Shunchao Long
We introduce some new functions spaces to investigate some problems at or beyond endpoint. First, we prove that Bochner-Riesz means are bounded from some subspaces of $L^p_…
Mixed means of commutators of central integral means and CMO
Shunchao Long, Jian Wang
In this paper we obtain some mixed means and weighted estimates for the commutators generating order central integral means operators with functions.