In this paper we characterize off-diagonal Carleson embeddings for both Hardy-Orlicz spaces and Bergman-Orlicz of the upper-half plane. We use these results to obtain embedding relations pointwise multipliers between spaces.

Let H be the Drury-Arveson or Dirichlet space of unit ball Cd. The weak product ? is collection all functions h that can written as =??n=1 fngn, where ??n=1 ||fn|| ||gn|| < ?. We show contained in Smirnov class H; is, every function a quotient two multipliers H, denominator chosen to cyclic . As consequence, we map N ? closH ?H establishes one-to-one and onto correspondence between multiplier i...

Abstract The translation operator is bounded in the Paley–Wiener spaces and, more generally, Bernstein spaces. goal of this paper to find some necessary conditions for boundedness de Branges spaces, which are special cases. Indeed, if vertical $$T_\tau $$ T τ defined on...

We prove that one-dimensional reflectionless Schrödinger operators with spectrum a homogeneous set in the sense of Carleson, belonging to the class introduced by Sodin and Yuditskii, have purely absolutely continuous spectra. This class includes all earlier examples of reflectionless almost periodic Schrödinger operators. In addition, we construct examples of reflectionless Schrödinger operator...