Jiecheng Chen

We don’t have enough information about this author to calculate their statistics. If you think this is an error let us know.
Learn More
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)
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)
  • 1