INTERPOLATING SEQUENCES FOR ANALYTIC SELFMAPPINGS OF THE DISC

被引：1

作者：

Menal Ferrer, Pere ^{[1
]}

Monreal Galan, Nacho ^{[1
]}

Nicolau, Artur ^{[1
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2011年 / 133卷 / 02期

关键词：

VALUES;

D O I：

10.1353/ajm.2011.0012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Schwarz's Lemma leads to a natural interpolation problem for analytic functions from the disc into itself. The corresponding interpolating sequences are geometrically described in terms of a certain hyperbolic density.

引用

页码：437 / 465

页数：29

共 19 条

[1]

AGLER J., 2002, GRADUATE STUD MATH, V44

[2]

[Anonymous], 2007, GRAD TEXTS MATH

[3]

[Anonymous], SPRINGER UNDERGRADUA

[4]

[Anonymous], GRAD STUDIES MATH

[5] Interpolation by functions in the Bloch space [J].

Boe, B ;

Nicolau, A .

JOURNAL D ANALYSE MATHEMATIQUE, 2004, 94 (1) :171-194

[6] AN INTERPOLATION PROBLEM FOR BOUNDED ANALYTIC FUNCTIONS [J].

CARLESON, L .

AMERICAN JOURNAL OF MATHEMATICS, 1958, 80 (04) :921-930

[7]

CARTAN E, 1951, LECONS GEOMETRIE ESP

[8] A CONCEPT OF THE MASS CENTER OF A SYSTEM OF MATERIAL POINTS IN THE CONSTANT CURVATURE SPACES [J].

GALPERIN, GA .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 154 (01) :63-84

[9]

Heinonen J., 2001, Lectures on analysis on metric spaces, DOI 10.1007/978-1-4613-0131-8

[10] L-INFINITY ESTIMATES FOR THE DELTA-BAR PROBLEM IN A HALF-PLANE [J].

JONES, PW .

ACTA MATHEMATICA, 1983, 150 (1-2) :137-152

← 1 2 →