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

- Jianmiao Ruan, Jiecheng Chen
- 2010

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)

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

In this paper, we give a simple proof for a good-λ inequality which means that nontangential maximal functions controls area integrals. Let u be a harmonic function on R n+1 +. The nontangential maximal function and the area integral function of f are defined by N β (u)(x) = sup (y,t)∈Γ β (x) |u(y, t)| (β ∈ R 1 +), A α (u)(x) = Γα(x) |∇u(y, t)| 2 t 1−n dydt… (More)

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

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