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- Qiang Huang, Jiecheng Chen
- 2014

In this article, we consider the Cauchy problem for dispersive equations in α-Modulation spaces. For this purpose, we find a method for estimating uk in α-modulation spaces when k is not an integer, and develop a Strichartz estimate in M p,q which is based on semigroup estimates. In the local case, we that the domain of p is independent of α, which is also… (More)

- Jiecheng Chen, Dashan Fan, Meng Wang
- 2003

In this paper, we shall study Lp−boundedness of two kinds of maximal operators related to some families of singular integrals. 2000 MSC: Primary 42B20, Secondary 42B25, 42B30

- Shaolei Ru, Jiecheng Chen
- Computers & Mathematics with Applications
- 2017

- Shaolei Ru, Jiecheng Chen
- Appl. Math. Lett.
- 2015

We investigate the functions spaces on R for which the generalized partial derivatives Dk k f exist and belong to different Lorentz spacesΛkk w , where pk > 1 andw is nonincreasing and satisfies some special conditions. For the functions in these weighted Sobolev-Lorentz spaces, the estimates of the Besov type norms are found. The methods used in the paper… (More)

As we know, this inequality is very important in Hp-theory, it is also a main difficulty in generalizing Hp-theory of one parameter to Hp -theory of several parameters, see [2, 6, 7, 8]. The first proof of (1) is probabilistic which was given by Burkholder, Gundy and Silverstein, see [1]; Fefferman and Stein first got an analytic proof of (1) by dealing… (More)

- Jianmiao Ruan, Jiecheng Chen
- 2010

- Renhui Wan, Jiecheng Chen
- J. Nonlinear Science
- 2016

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