搜索结果: 1-11 共查到“线性算子理论 spaces”相关记录11条 . 查询时间(0.052 秒)
Inversion Formulas for the Spherical Means in Constant Curvature Spaces
The spherical mean Radon transform thermoacoustic tomography the method of analytic continuation
2011/9/23
Abstract: The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate connections...
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/9/22
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...
Hardy Spaces $H_L^p({\mathbb R}^n)$ Associated to Operators Satisfying $k$-Davies-Gaffney Estimates
Hardy space Hardy-Sobolev space k-Davies-Gaffney estimate Schrodinger type operator
2011/9/21
Abstract: Let $L$ be a one to one operator of type $\omega$ having a bounded $H_\infty$ functional calculus and satisfying the $k$-Davies-Gaffney estimates with $k\in{\mathbb N}$. In this paper, the a...
Endpoint Boundedness of Riesz Transforms on Hardy Spaces Associated with Operators
Riesz transform Davies-Gaffney estimate Schrodinger operator second order elliptic operator Hardy space
2011/9/21
Abstract: Let $L_1$ be a nonnegative self-adjoint operator in $L^2({\mathbb R}^n)$ satisfying the Davies-Gaffney estimates and $L_2$ a second order divergence form elliptic operator with complex bound...
Vanishing Mean Oscillation Spaces Associated with Operators Satisfying Davies-Gaffney Estimates
metric measure space operator bounded H∞ functional calculus DaviesGaffney estimate Orlicz function
2011/9/19
Abstract: Let $(\mathcal{X}, d, \mu)$ be a metric measure space, $L$ a linear operator which has a bounded $H_\infty$ functional calculus and satisfies the Davies-Gaffney estimate, $\Phi$ a concave fu...
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Sobolev spaces Riemannian manifold algebra rule paraproducts heat semigroup
2011/9/15
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of $\mathbb{R}^n$
Orlicz-Hardy space divergence form elliptic operator strongly Lipschitz domain Dirichlet boundary condition Gaussian property nontangential maximal function
2011/9/13
Abstract: Let $\Omega$ be a strongly Lipschitz domain of $\mathbb{R}^n$, whose complement in $\mathbb{R}^n$ is unbounded. Let $L$ be a second order divergence form elliptic operator on $L^2 (\Omega)$ ...
Weighted Local Orlicz-Hardy Spaces with Applications to Pseudo-differential Operators
Local Orlicz-Hardy Spaces Pseudo-differential Operators Classical Analysis and ODEs
2011/9/13
Abstract: Let $\Phi$ be a concave function on $(0,\infty)$ of strictly lower type $p_{\Phi}\in(0,1]$ and $\omega\in A^{\mathop\mathrm{loc}}_{\infty}(\mathbb{R}^n)$. We introduce the weighted local Orl...
Cone Normed Linear Spaces
Cone norm cone convergence cone continuous cone com-plete cone compact
2010/12/3
In this paper, we introduce cone normed linear space,study the cone convergence with respect to cone norm. Fi-nally, we prove the completeness of a finite dimensional cone normed linear space.
Continuity of Pseudo-Differential Operator $h_{\mu,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces
Hankel transformation Hankel translation Hankel convolu-tion Pseudo-differential operator
2010/12/9
The Pseudo-Differential Operator (p.d.o.) hμ,a associated with the Bessel Operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequenc...
A Remark on Boundedness of Calderon-Zygmund Operators in Non-Homogeneous Spaces
Calder\'on--Zygmund operator Hardy space $L^{1 \ \infty}(\mu)$ Non-doubling measure
2007/12/11
Let $\mu$ be a Radon measure on $\rd$ which may be non-doubling. The only condition satisfied by $\mu$ is that $\mu(B(x,r))\le Cr^n$ for all $x\in\rd$, $r>0$ and some fixed $0paper, ...