Harmonic interpolating sequences, $L^p$ and BMO

AN Lp DEFINITION OF INTERPOLATING BLASCHKE PRODUCTS

Interpolating statistics realized as Deformed Harmonic Oscillators

The idea that a system obeying interpolating statistics can be described by a deformed oscillator algebra has been an outstanding issue. This original concept introduced long ago by Greenberg is the motivation for this investigation. We establish that a q-deformed algebra can be used to describe the statistics of particles (anyons) interpolating continuously between Bose and Fermi statistics, i...

Interpolating and Sampling Sequences for Entire Functions

We characterise interpolating and sampling sequences for the spaces of entire functions f such that fe ∈ L(C), p ≥ 1 (and some related weighted classes), where φ is a subharmonic weight whose Laplacian is a doubling measure. The results are expressed in terms of some densities adapted to the metric induced by ∆φ. They generalise previous results by Seip for the case φ(z) = |z|2, and by Berndtss...

Interpolating Sequences in the Polydisc

Let H°°(Dn) denote the set of all bounded analytic functions defined on the polydisc D" of Cn. In this note, we give a sufficient condition for sequences of points in £>" to be interpolating sequences for H°°(Dn). We also discuss some conditions for interpolation of general domains. Let G(X) be the set of all bounded continuous functions on a compact set X and let A C C(X) be a uniform algebra ...

Inequalities on asymmetric Lp-harmonic radial bodies

Lutwak introduced the Lp-harmonic radial body of a star body. In this paper, we define the notion of asymmetric Lpharmonic radial bodies and study their properties. In particular, we obtain the extremum values of dual quermassintegrals and the volume of the polars of the asymmetric Lp-harmonic radial bodies, respectively. c ©2017 All rights reserved.