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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...
A subset A of ℜ, the set of real numbers, is bounded if |a| ≤ M for all a ∈ A where M is a positive real constant number. This is equivalent to the statement that any sequence of points in A has...
Hardy spaces, Regularized BMO and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
non-homogeneous spaces Hardy spaces BMO Calder´ on - Zygmund operator
2010/12/1
One defines a non-homogeneous space (X, μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form rn for some n ...
Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures
maximal commutator Calder\'on--Zygmund operator ${\rm RBMO}(\mu)$ Hardy-type space non-doubling measure
2007/12/12
Let $\mu$ be a non-negative Radon measure on ${\mathbb R}^d$ which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of...
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 $0
In this paper, we consider integal operators defined by kernel functions. It is well known the boundedness of such kind of operators as Shur Lemma type statements. But, the norm of operators was estim...