A remark on polynomial norms and their coefficients

被引：22

作者：

Kim, SG ^{[1
]}

机构：

[1] Kyungpook Natl Univ, Topol & Geometry Res Ctr, Taegu 702701, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2000年 / 5卷 / 01期

关键词：

coefficients; l(p) spaces; polynomial norms;

D O I：

10.1155/S1025583400000011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents new lower bounds for the norms of 2-homogeneous real-valued polynomials on l(p) spaces for 0 < p less than or equal to infinity which are sharper than those recently given by the author.

引用

页码：1 / 9

页数：9

共 11 条

[1]

[Anonymous], 1992, NOTE MAT

[2]

ARON RM, 1992, EXTRACTA MATH, P13

[3] JENSEN INEQUALITY FOR POLYNOMIALS WITH CONCENTRATION AT LOW DEGREES [J].

BEAUZAMY, B .

NUMERISCHE MATHEMATIK, 1986, 49 (2-3) :221-225

[4] PRODUCTS OF POLYNOMIALS IN MANY VARIABLES [J].

BEAUZAMY, B ;

BOMBIERI, E ;

ENFLO, P ;

MONTGOMERY, HL .

JOURNAL OF NUMBER THEORY, 1990, 36 (02) :219-245

[5] ESTIMATIONS OF POLYNOMIAL PRODUCTS [J].

BEAUZAMY, B ;

ENFLO, P .

JOURNAL OF NUMBER THEORY, 1985, 21 (03) :390-412

[6]

BEAUZAMY B, REPRESENTING MANY VA

[7]

DINEEN S, 1981, MATH STUDIES, V57

[8] ON THE INVARIANT SUBSPACE PROBLEM FOR BANACH-SPACES [J].

ENFLO, P .

ACTA MATHEMATICA, 1987, 158 (3-4) :213-313

[9]

Kim SG, 1998, INDIAN J PURE AP MAT, V29, P277

[10] SHARP LOWER BOUNDS FOR A GENERALIZED JENSEN INEQUALITY [J].

RIGLER, AK ;

TRIMBLE, SY ;

VARGA, RS .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1989, 19 (01) :353-373

← 1 2 →