Bloch Function | ScienceGate

AbstractWe prove that sufficiently separated sequences are interpolating sequences for f′(z)(1−|z|2) where f is a Bloch function. If the sequence {zn} is an η net then the boundedness f′(z)(1−|z|2) on {zn} is a sufficient condition for f to be a Bloch function. The essential norm of a Hankel operator with a conjugate analytic symbol acting on the Bergman space is shown to be equivalent to .

Download Full-text

Nevanlinna-type characterizations for the Bloch space and related spaces

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s0013091500028947 ◽

1990 ◽

Vol 33 (1) ◽

pp. 123-141 ◽

Cited By ~ 3

Author(s):

Karel Stroethoff

Keyword(s):

Bloch Space ◽

Bloch Function ◽

Value Distribution ◽

Nevanlinna Characteristic ◽

Little Bloch Space

We give a characterisation of the Bloch space in terms of an area version of the Nevanlinna characteristic, analogous to Baernstein's description of the space BMOA in terms of the usual Nevanlinna characteristic. We prove analogous results for the little Bloch space and the space VMOA, and give value distribution characterizations for all these spaces. Finally we give valence conditions on a Bloch or little Bloch function for containment in BMOA or VMOA.

Download Full-text

Bloch Theorem and Bloch Function

Field Guide to Solid State Physics ◽

10.1117/3.2510243.ch19 ◽

2019 ◽

Author(s):

Marek S. Wartak ◽

Ching-Yao Fong

Keyword(s):

Bloch Function ◽

Bloch Theorem

Download Full-text

On the relationship between diffracted beam intensity and bloch function orthogonality in the dynamical theory of electron diffraction

phys stat sol (a) ◽

10.1002/pssa.2211050103 ◽

1988 ◽

Vol 105 (1) ◽

pp. 45-52 ◽

Cited By ~ 1

Author(s):

H. S. Kim ◽

S. S. Sheinin

Keyword(s):

Electron Diffraction ◽

Dynamical Theory ◽

Bloch Function ◽

Beam Intensity ◽

The Relationship

Download Full-text

Analysis of laser-structure anisotropic semiconductors by the Bloch-function method

Journal of Soviet Laser Research ◽

10.1007/bf01442219 ◽

1989 ◽

Vol 10 (6) ◽

pp. 449-458 ◽

Cited By ~ 9

Author(s):

P. G. Eliseev ◽

R. F. Nabiev ◽

Yu M. Popov

Keyword(s):

Function Method ◽

Bloch Function ◽

Laser Structure

Download Full-text

Admissible limits of bloch functions on bounded strongly pseudoconvex domains

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700015021 ◽

1996 ◽

Vol 54 (1) ◽

pp. 1-3

Author(s):

Hu Zhangjian

Keyword(s):

Pseudoconvex Domain ◽

Bloch Function ◽

Pseudoconvex Domains ◽

Bloch Functions ◽

Radial Limits ◽

Strongly Pseudoconvex Domains ◽

Almost Everywhere ◽

Strongly Pseudoconvex Domain ◽

Almost All

Let be a bounded strongly pseudoconvex domain with C2 boundary . In this paper we prove that for a Bloch function in the existance of radial limits at almost all implies the existence of admissible limits almost everywhere on .

Download Full-text