Small-time asymptotics of the trace of the heat semigroup θ（t）=Σ<sub>v=1</sub><sup>x</sup> exp（-tμ<sub>v</sub>）. where {μ<sub>v</sub>} are the eigenvalues of the...Small-time asymptotics of the trace of the heat semigroup θ（t）=Σ<sub>v=1</sub><sup>x</sup> exp（-tμ<sub>v</sub>）. where {μ<sub>v</sub>} are the eigenvalues of the uegative Laplacian -Δ= -Σ<sub>β=1</sub><sup>2</sup>（/x<sup>β</sup>）<sup>2</sup> in the （x<sup>1</sup>, x<sup>2</sup>）-plane. is studied for a general bounded domain Ω with a smooth boundary Ω. where a finite number of Dirichlet. Neumann and Robin boundary conditions, on the piecewise smooth parts Γ<sub>i</sub>（i=1, ..., n） of )Ω such that)Ω=∪<sub>i=1</sub><sup>n</sup>Γ<sub> </sub>are considered. Some geometrical properties associated with Ω are determined展开更多
In this article, we study LP-boundedness properties of the oscillation and vari- ation operators for the heat and Poissson semigroup and Riesz transforms in the Laguerre settings. Also, we characterize Hardy spaces as...In this article, we study LP-boundedness properties of the oscillation and vari- ation operators for the heat and Poissson semigroup and Riesz transforms in the Laguerre settings. Also, we characterize Hardy spaces associated to Laguerre operators by using the variation operator of the heat semigroup.展开更多
文摘Small-time asymptotics of the trace of the heat semigroup θ（t）=Σ<sub>v=1</sub><sup>x</sup> exp（-tμ<sub>v</sub>）. where {μ<sub>v</sub>} are the eigenvalues of the uegative Laplacian -Δ= -Σ<sub>β=1</sub><sup>2</sup>（/x<sup>β</sup>）<sup>2</sup> in the （x<sup>1</sup>, x<sup>2</sup>）-plane. is studied for a general bounded domain Ω with a smooth boundary Ω. where a finite number of Dirichlet. Neumann and Robin boundary conditions, on the piecewise smooth parts Γ<sub>i</sub>（i=1, ..., n） of )Ω such that)Ω=∪<sub>i=1</sub><sup>n</sup>Γ<sub> </sub>are considered. Some geometrical properties associated with Ω are determined
基金Supported by the Natural Science Foundation of Fujian Province(No.2021J05188)the Scientific Research Project of the Education Department of Fujian Province(No.JAT200331)+1 种基金President’s Fund of Minnan Normal University(No.KJ2020020)Fujian Key Laboratory of Granular Computing and Applications,Institute of Meteorological Big Data-Digital Fujian and Fujian Key Laboratory of Data Science and Statistics(Minnan Normal University).
基金supported by Ministerio de Educación y Ciencia (Spain),grant MTM 2007-65609supported by Ministerio de Educacióon y Ciencia (Spain),grant MTM 2008-06621-C02supported by Universidad Nacional del Comahue (Argentina) and Ministerio de Educación y Ciencia (Spain) grant PCI 2006-A7-0670
文摘In this article, we study LP-boundedness properties of the oscillation and vari- ation operators for the heat and Poissson semigroup and Riesz transforms in the Laguerre settings. Also, we characterize Hardy spaces associated to Laguerre operators by using the variation operator of the heat semigroup.
