Transplantation theorem for Jacobi series in weighted Hardy spaces, II

被引：4

作者：

Miyachi, Akihiko ^{[1
]}

机构：

[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan

来源：

关键词：

Positive Integer; Nonnegative Integer; Hardy Space; Moment Condition; Open Interval;

D O I：

10.1007/s00208-006-0777-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Muckenhoupt's transplantation theorem for Jacobi series in weighted L-p spaces is extended to weighted Hardy spaces.

引用

页码：111 / 153

页数：43

共 8 条

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ASKEY, R
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1969, 13 (03) : 583 - &
[2] DONFORD N, 1958, LINEAR OPERATORS 1, V7
[3] A transplantation theorem for Jacobi series in weighted Hardy spaces
Miyachi, A
[J]. ADVANCES IN MATHEMATICS, 2004, 184 (01) : 177 - 206
[4] Miyachi A, 2003, FUNCTION SPACES, DIFFERENTIAL OPERATORS AND NONLINEAR ANALYSIS: THE HANS TRIEBEL ANNIVERSARY VOLUME, P117
[5] MIYACHI A, 1999, P 2 ISAAC C HELD FUK, V1, P59
[6] MUCKENHOUPT B, 1986, TRANSPLANTATION THEO, V64
[7] Stein E M., 1993, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals
[8] Szego Gabor, 1939, Orthogonal Polynomials, V23