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pro vyhledávání: '"Long, Shunchao"'
Autor:
Long, Shunchao
We establish weighted inequalities for $BMO$ commutators of sublinear operators for all $0
Externí odkaz:
http://arxiv.org/abs/2103.08799
Autor:
Long, Shunchao
Operators such as Carleson operator are known to be bounded on $L^p$ for all $1
Externí odkaz:
http://arxiv.org/abs/1912.08653
Let $X$ be a space of homogeneous type. Assume that $L$ is an non-negative second-order self-adjoint operator on $L^2\left(X\right)$ with (heart) kernel associated to the semigroup $e^{ - tL}$ that satisfies the Gaussian upper bound. In this paper, t
Externí odkaz:
http://arxiv.org/abs/1903.08393
Autor:
Long, Shunchao
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,we give some subspaces of $L^s$ with $1
Externí odkaz:
http://arxiv.org/abs/1407.2138
Autor:
Long, Shunchao
In this paper some extensions of Hardy's integral inequalities to $0
Externí odkaz:
http://arxiv.org/abs/1103.1270
Autor:
Long, Shunchao
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 this, we introduce some new functions spaces $RL^{p,s}_{|x|^{\alpha}}(
Externí odkaz:
http://arxiv.org/abs/1103.0618
Autor:
Long, Shunchao
We introduce some new functions spaces to investigate some problems at or beyond endpoint. First, we prove that Bochner-Riesz means $B_R^\lambda$ are bounded from some subspaces of $L^p_{|x|^\alpha}$ to $L^p_{|x|^\alpha}$ for $ \frac{n-1}{2(n+1)}<\la
Externí odkaz:
http://arxiv.org/abs/1103.0616
Autor:
Long, Shunchao, Wang, Jian
In this paper we obtain some mixed means and weighted $L^p$ estimates for the commutators generating $r$ order central integral means operators with $CMO$ functions.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1103.0107
Publikováno v:
Journal of Function Spaces. 3/17/2022, p1-20. 20p.
Autor:
Long, Shunchao
Operators such as Carleson operator are known to be bounded on $L^p$ for all $1
36 pages
36 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ecc4e7d78e6b5b8750e3d1938e5cda1