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Displaying 3981 – 4000 of 11160

Hankel type operators on the unit disk

Jie Miao (2001)

Studia Mathematica

We study Hankel operators and commutators that are associated with a symbol and a kernel function. If the kernel function satisfies an upper bound condition, we obtain a sufficient condition for commutators to be bounded or compact. If the kernel function satisfies a local bound condition, the sufficient condition turns out to be necessary. The analytic and harmonic Bergman kernels satisfy both conditions, therefore a recent result by Wu on Hankel operators on harmonic Bergman spaces is extended....

Ha-Plitz Operators between Moebius Invariant Subspaces.

Genkai Zhang (1992)

Mathematica Scandinavica

Hard implicit function theorem and small periodic solutions to partial differential equations

Pavel Krejčí (1984)

Commentationes Mathematicae Universitatis Carolinae

Hardy Inequality in Variable Exponent Lebesgue Spaces

Diening, Lars, Samko, Stefan (2007)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.

Hardy space estimates for multilinear operators (I).

Ronald R. Coifman, Loukas Grafakos (1992)

Revista Matemática Iberoamericana

In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the Hp space context.

Hardy space estimates for multilinear operators (II).

Loukas Grafakos (1992)

Revista Matemática Iberoamericana

We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces Lp(Rn) into the Hardy spaces Hr(Rn). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.

Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.

Jacek Dziubanski, Jacek Zienkiewicz (1999)

Revista Matemática Iberoamericana

Let {Tt}t>0 be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup {Tt}t>0. Atomic and Riesz transforms characterizations of HA1 are shown.

Hardy spaces and oscillatory singular integrals.

Yibiao Pan (1991)

Revista Matemática Iberoamericana

Hardy spaces associated with some Schrödinger operators

Jacek Dziubański, Jacek Zienkiewicz (1997)

Studia Mathematica

For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy $H_{A}^{1}$ space associated with A. An atomic characterization of $H_{A}^{1}$ is shown.

Hardy spaces H¹ for Schrödinger operators with certain potentials

Jacek Dziubański, Jacek Zienkiewicz (2004)

Studia Mathematica

Let ${K_{t}}_{t > 0}$ be the semigroup of linear operators generated by a Schrödinger operator -L = Δ - V with V ≥ 0. We say that f belongs to $H ¹_{L}$ if $| | s u p_{t > 0} | K_{t} {f (x) | | |}_{L ¹ (d x)} < \infty$ . We state conditions on V and $K_{t}$ which allow us to give an atomic characterization of the space $H ¹_{L}$ .

Hardy type inequalities for integral transforms associated with a singular second order differential operator.

Dziri, M., Rachdi, L.T. (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds

Leonardo Colzani, Giancarlo Travaglini (1990)

Colloquium Mathematicae

Hardy-Rogers-type fixed point theorems for $α$ - $G F$ -contractions

Muhammad Arshad, Eskandar Ameer, Aftab Hussain (2015)

Archivum Mathematicum

The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for $α$ - $η$ - $G F$ -contraction in a complete metric space. We extend the concept of $F$ -contraction into an $α$ - $η$ - $G F$ -contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.

Hardy-type estimates for Dirac operators

Jean Dolbeault, Maria J. Esteban, Javier Duoandikoetxea, Luis Vega (2007)

Annales scientifiques de l'École Normale Supérieure

Harmonic analysis and asymptotic behavior of solutions to the abstract Cauchy problem.

B. Basit (1997)

Semigroup forum

Harmonic analysis on the quantized Riemann sphere.

Peetre, Jaak, Zhang, Genkai (1993)

International Journal of Mathematics and Mathematical Sciences

Harmonic Bergman spaces with small exponents in the unit ball.

Guangbin Ren (2002)

Collectanea Mathematica

Hausdorff Matrices as Bounded Operators over lp.

Billy E. Rhoades, Amnon Jakimovski (1974)

Mathematische Zeitschrift

Heat kernel estimates for critical fractional diffusion operators

Longjie Xie, Xicheng Zhang (2014)

Studia Mathematica

We construct the heat kernel of the 1/2-order Laplacian perturbed by a first-order gradient term in Hölder spaces and a zero-order potential term in a generalized Kato class, and obtain sharp two-sided estimates as well as a gradient estimate of the heat kernel, where the proof of the lower bound is based on a probabilistic approach.

Heat kernel estimates for the Dirichlet fractional Laplacian

Zhen-Qing Chen, Panki Kim, Renming Song (2010)

Journal of the European Mathematical Society

We consider the fractional Laplacian $- {(- Δ)}^{α / 2}$ on an open subset in $ℝ^{d}$ with zero exterior condition. We establish sharp two-sided estimates for the heat kernel of such a Dirichlet fractional Laplacian in $C^{1, 1}$ open sets. This heat kernel is also the transition density of a rotationally symmetric $α$ -stable process killed upon leaving a $C^{1, 1}$ open set. Our results are the first sharp twosided estimates for the Dirichlet heat kernel of a non-local operator on open sets.

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