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
Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We show that if 4 divides no A-invariant conjugacy class size of G, then G is solvable. We also characterize the A-invariant struc...Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We show that if 4 divides no A-invariant conjugacy class size of G, then G is solvable. We also characterize the A-invariant structure of G under certain arithmetical conditions on the set of A-invariant class sizes of G by means of the fixed point subgroup, some of which imply the solvability of G. Thus, we extend, for coprime action, several results appeared in the literature on class sizes.展开更多
In this paper, we study fractional square functions associated with the Poisson semigroup for SchrSdinger operators. We characterize the potential spaces in the SchrSdinger setting by using vertical, area and gλ, fra...In this paper, we study fractional square functions associated with the Poisson semigroup for SchrSdinger operators. We characterize the potential spaces in the SchrSdinger setting by using vertical, area and gλ, fractional square functions.展开更多
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.
基金supported by National Natural Science Foundation of China(Grant No.11301218)the Nature Science Fund of Shandong Province(Grant No.ZR2014AM020)+4 种基金University of Jinan Research Funds for Doctors(Grant Nos.XBS1335 and XBS1336)the Valencian GovernmentProyecto PROMETEO/2011/30the Spanish GovernmentProyecto(Grant No.MTM2010-19938-C03-02)
文摘Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We show that if 4 divides no A-invariant conjugacy class size of G, then G is solvable. We also characterize the A-invariant structure of G under certain arithmetical conditions on the set of A-invariant class sizes of G by means of the fixed point subgroup, some of which imply the solvability of G. Thus, we extend, for coprime action, several results appeared in the literature on class sizes.
基金supported by MTM2013-44357-Ppartially supported by MTM2011-28149-C02-01
文摘In this paper, we study fractional square functions associated with the Poisson semigroup for SchrSdinger operators. We characterize the potential spaces in the SchrSdinger setting by using vertical, area and gλ, fractional square functions.
