论文信息 - Hardy-Littlewood theory for semigroups - 字舞流文

Hardy-Littlewood theory for semigroups

Soit (T t ; t>0) un semi-groupe symetrique sousmarkovien et soit n>2. Alors on a les proprietes equivalentes: (A) dim(T t )=n; (B) Il existe C 2 >0 s.t.∥T t f∥∞≤C 2 t −n/2 ∥f∥ 1 , ∀f∈L 1 (X), t>0. En fait (A)⇒(B) meme dans le cas n=2

N. Varopoulos | N. Varopoulos | N.Th Varopoulos

[1] J. Neveu,et al. Martingales à temps discret , 1973 .

[2] Shing-Tung Yau,et al. ON THE UPPER ESTIMATE OF THE HEAT KERNEL OF A COMPLETE RIEMANNIAN MANIFOLD , 1981 .

[3] J. Littlewood,et al. Some properties of conjugate functions. , 1932 .

[4] Barry Simon,et al. Ultracontractivity and the Heat Kernel for Schrijdinger Operators and Dirichlet Laplacians , 1987 .

[5] Shing-Tung Yau,et al. Isoperimetric constants and the first eigenvalue of a compact riemannian manifold , 1975 .

[6] Elias M. Stein,et al. Hardy spaces on homogeneous groups , 1982 .

[7] E. Stein. Singular Integrals and Di?erentiability Properties of Functions , 1971 .

[8] M. Fukushima. Dirichlet forms and Markov processes , 1980 .

[9] Analysis on nilpotent groups , 1986 .

[10] N. Varopoulos. The Poisson Kernel on positively curved manifolds , 1981 .

[11] N. Varopoulos,et al. Isoperimetric inequalities and Markov chains , 1985 .

[12] R. Goodman. Nilpotent Lie Groups , 1976 .

[13] R. Osserman. The isoperimetric inequality , 1978 .