Showing papers in "Journal of Functional Analysis in 1999"

TL;DR: In this article, the authors study some problems on exponential integrability, concentration of measure, and transportation cost related to logarithmic Sobolev inequalities, and give a characterization of probability measures that satisfy these inequalities.

TL;DR: In this article, it was shown that for some absolute constant C E 1 M ∑ i=1 M y i ⊗y i −id ⩽C· log n M ·( E ‖y‖ log M ) 1/log M, provided that the last expression is smaller than 1.

TL;DR: In this article, it was shown that a continuous linear operator T on a Frechet space satisfies the Hypercyclicity Criterion if and only if it is hereditarily hypercyclic.

TL;DR: In this paper, the Hardy-Rellich inequalities containing derivatives of arbitrary (not necessarily integer) order l were obtained, and some new inequalities of this type were also obtained.

TL;DR: In this paper, it was shown that the scattering operators are well-defined in the whole energy space for nonlinear Klein-Gordon and Schrodinger equations in R1+n with nonlinearity |u|p−1 u, p>1+4/n.

TL;DR: In this paper, a noncommutative Poisson transform associated to a certain class of sequences of operators on Hilbert spaces, with property (P), is defined on some universal C *-algebras generated by isometries.

TL;DR: In this article, the authors consider resonance problems at an arbitrary eigenvalue of the p -Laplacian, and prove the existence of weak solutions assuming a standard Landesman-Lazer condition.

TL;DR: Some nonlinear elliptic equations on R N which arise perturbing the scalar curvature problem with the critical Sobolev exponent are studied in this article, where some results dealing with scalar curve curvature in R N are given.

TL;DR: Banuelos et al. as mentioned in this paper partially supported by NSF grant DMS-9400854, and Krzysztof Burdzy's research partially supported with NSF Grant DMS -9322689.

TL;DR: In this paper, a systematic study of pullback and pushout diagrams is conducted in order to understand restricted direct sums and amalgamated free products of C *-algebras.

TL;DR: In this paper, the Laplace operator on Lipschitz domains in a manifold with C 1 metric tensor was treated and the Dirichlet, Neumann, and oblique derivative boundary problems were studied.

TL;DR: In this article, the analog of the Laplacian on the Sierpinski gasket and related fractals, constructed by Kigami, has been considered and it has been shown that general nonlinear functions do not operate on the domain of Δ.

TL;DR: In this article, the degenerate solutions of the nonlinear equation F ( e, λ, λ, u ) = 0 were studied, and several bifurcation theorems were obtained for degenerate solution.

TL;DR: In this article, a construction of a miniversal deformation of finite or infinite dimensional Lie algebras over a field of characteristic 0 is given, where the homomorphism f : A → B is unique only at the first level.

TL;DR: In this paper, a necessary condition for the existence of an analytic 2×2 matrix function satisfying interpolation conditions and bounds on eigenvalues was obtained for the spectral Nevanlinna-Pick problem.

TL;DR: In this paper, it was shown that the Dirichlet problem can be wellposed in the space W2,p,λ(Ω)∩W1,p 0,p √ W1, p 0 √ L √ VMO∩L ∞ (Ω), if the principal coefficients aij(x) of the uniformly elliptic operator belong to VMO

TL;DR: In this article, the authors studied the limit of the solution of linear and semilinear second order PDEs of parabolic type, with rapidly oscillating periodic coefficients, singular drift, and singular coefficient of the zeroth order term.

TL;DR: In this paper, the τ invariant of Connes for free products of von Neumann algebras of the form Φ(L∞[0, 1], η) is computed.

TL;DR: In this paper, the authors derived uniform weighted L 2 and Morrey-Campanato type estimates for Helmholtz equations in a medium with a variable index which is not necessarily constant at infinity.

TL;DR: In this article, Carleson measures on the Dirichlet spaces were characterized and necessary and sufficient conditions for multipliers of these measures were established. But they did not consider the case where the dimension is arbitrary.

TL;DR: In this paper, the potential-theoretic properties of symmetric α-stable processes (0 < α < 2) were studied. And the boundary Harnack principle for ratios of α-harmonic functions on any open set, identifying the Martin boundary with the Euclidean boundary for open sets with a certain interior fatness property was established.

TL;DR: In this paper, the Segal-Bargmann transform is shown to be square integrable with respect to a heat kernel measure in the fibers of a natural fibration of a symmetric space X of compact type.

TL;DR: In this paper, it was shown that (1/Z i P ) −(1/2) E ( σ ) d ∈ H P (M) ∈ G 1 P and G 0 P, respectively, can be approximated by a finite-dimensional manifold H P(M) consisting of piecewise geodesic paths adapted to partitions P of [0, 1].

TL;DR: In this article, a setup for hypercontractivity in the interpolating family of noncommutative Lpspaces associated to a locally normal state on an inductive limit C*-algebra is introduced.

TL;DR: In this paper, a stochastic Korteweg-de-vries equation on the real line was considered and the authors used function spaces similar to those introduced by Bourgain to prove well posedness results.

TL;DR: In this article, the stable, unstable and Ruelle algebras associated to mixing Smale spaces were studied and shown to be simple, amenable, and purely infinite.

TL;DR: In this paper, the sharp L 2 estimates for Weyl quantized pseudodifferential operators are established in the framework of Hormander's classes of symbols S m ϱ, δ.

TL;DR: In this article, it was shown that a subsequence of functions can be expressed as a finite sum (plus a remainder) of translations/dilations of functions such that the remainder has arbitrary small norm in Lq(1/q=(1/p)−(s/d)).

TL;DR: In this article, the relation of the heat kernels for Schrodinger operators with uniform magnetic fields on the hyperbolic plane H 2 (the Maass Laplacians) and for the Morse potentials on R is given by means of a one-dimensional Fourier transform in the framework of stochastic analysis.

TL;DR: A class of models of quantized, massless Bose fields, called the generalized spin-boson model (A. Arai and M. Hirokawa, 1997), is considered in this article.