Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions

被引：0

作者：

Iida, Yasuo ^{[1
]}

Kasuga, Kazuhiro ^{[2
]}

机构：

[1] Iwate Med Univ, Dept Math, Yahaba, Iwate 0283694, Japan

[2] Kogakuin Univ, Acad Support Ctr, Tokyo 1920015, Japan

来源：

JOURNAL OF FUNCTION SPACES | 2015年 / 2015卷

关键词：

ALGEBRAS;

D O I：

10.1155/2015/598538

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In (Iida and Kasuga 2013), the authors described multiplicative (but not necessarily linear) isometries of M-p(X) onto M-p(X) in the case of positive integer p epsilon N, where M-p(X) (p >= 1) is included in the Smirnov class N-*(X). In this paper, we will generalize the result to arbitrary (not necessarily positive integer) value of the exponents 0 < p < infinity.

引用

页数：5

共 28 条

[21] Mean ergodic composition operators on spaces of holomorphic functions on a Banach space [J].

Jornet, David ;

Santacreu, Daniel ;

Sevilla-Peris, Pablo .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 500 (02)

[22] Ergodic properties of multiplication and weighted composition operators on spaces of holomorphic functions [J].

Santacreu, Daniel .

MATHEMATISCHE NACHRICHTEN, 2024, 297 (07) :2609-2623

[23] GENERALIZED 2-LOCAL ISOMETRIES OF SPACES OF CONTINUOUSLY DIFFERENTIABLE FUNCTIONS MALIHEH HOSSEINI [J].

Hosseini, Maliheh .

QUAESTIONES MATHEMATICAE, 2017, 40 (08) :1003-1014

[24] Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces [J].

Zagorodnyuk, Andriy ;

Hihliuk, Anna .

AXIOMS, 2020, 9 (04) :1-9

[25] Continuality of classes of functions in multivalued logic with minimal logarithmic growth rate [J].

Komkov, Stepan A. .

DISCRETE MATHEMATICS AND APPLICATIONS, 2022, 32 (02) :97-103

[26] Test Functions, Schur-Agler Classes and Transfer-Function Realizations: The Matrix-Valued Setting [J].

Ball, Joseph A. ;

Huaman, Moises D. Guerra .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (03) :529-575

[27] A method to find any solution of f(p(x))=q(f(x)) with given strictly increasing continuous real functions p, q [J].

Kopecek, Oldrich .

AEQUATIONES MATHEMATICAE, 2025,

[28] A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 x S1 [J].

Afra, M. ;

Fakhri, H. ;

Sayyah-Fard, M. .

JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (01)

← 1 2 3 →