scholarly journals On the Bohr inequality for the Cesáro operator

2020 ◽  
Vol 358 (5) ◽  
pp. 615-620 ◽  
Author(s):  
Ilgiz R. Kayumov ◽  
Diana M. Khammatova ◽  
Saminathan Ponnusamy
Keyword(s):  
Cesàro Operator ◽  
Cesaro Operator

Generalized Cesáro operator on BMOA space

2020 ◽  
Author(s):  
Sunanda Naik
Keyword(s):  
Cesàro Operator ◽  
Cesaro Operator

scholarly journals ESSENTIAL NORM OF EXTENDED CESÀRO OPERATORS FROM ONE BERGMAN SPACE TO ANOTHER

2011 ◽  
Vol 85 (2) ◽  
pp. 307-314 ◽  
Author(s):  
ZHANGJIAN HU
Keyword(s):  
Unit Ball ◽  
Bergman Space ◽  
Holomorphic Functions ◽  
Essential Norm ◽  
Normal Weight ◽  
Cesàro Operator ◽  
Radial Derivative ◽  
Image Position ◽  
Cesaro Operator

AbstractLet Ap(φ) be the pth Bergman space consisting of all holomorphic functions f on the unit ball B of ℂn for which $\|f\|^p_{p,\varphi }= \int _B |f(z)|^p \varphi (z) \,dA(z)\lt +\infty $, where φ is a given normal weight. Let Tg be the extended Cesàro operator with holomorphic symbol g. The essential norm of Tg as an operator from Ap (φ) to Aq (φ) is denoted by $\|T_g\|_{e, A^p (\varphi )\to A^q (\varphi )} $. In this paper it is proved that, for p≤q, with 1/k=(1/p)−(1/q) , where ℜg(z) is the radial derivative of g; and for p>q, with 1/s=(1/q)−(1/p) .

Spectrum of the Cesàro operator in ℓ p

2013 ◽  
Vol 100 (3) ◽  
pp. 267-271 ◽  
Author(s):  
Guillermo P. Curbera ◽  
Werner J. Ricker
Keyword(s):  
Cesàro Operator ◽  
Cesaro Operator

On The Spectrum of the Cesaro Operator

1985 ◽  
Vol 17 (3) ◽  
pp. 263-267 ◽  
Author(s):  
J. B. Reade
Keyword(s):  
Cesàro Operator ◽  
Cesaro Operator

scholarly journals Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball

2009 ◽  
Vol 7 (3) ◽  
pp. 209-223 ◽  
Author(s):  
Ze-Hua Zhou ◽  
Min Zhu
Keyword(s):  
Unit Ball ◽  
Besov Space ◽  
Besov Spaces ◽  
Complex Space ◽  
Bloch Space ◽  
Sufficient Conditions ◽  
Cesàro Operator ◽  
Type Spaces ◽  
Necessary And Sufficient ◽  
Cesaro Operator

Let 𝑔 be a holomorphic of the unit ballBin then-dimensional complex space, and denote byTgthe extended Cesáro operator with symbolg. Let 0 <p< +∞, −n− 1 <q< +∞,q> −1 and α > 0, starting with a brief introduction to well known results about Cesáro operator, we investigate the boundedness and compactness ofTgbetween generalized Besov spaceB(p, q)and 𝛼α- Bloch spaceℬαin the unit ball, and also present some necessary and sufficient conditions.

scholarly journals THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓp+ AND Lp−

2016 ◽  
Vol 59 (2) ◽  
pp. 273-287 ◽  
Author(s):  
ANGELA A. ALBANESE ◽  
JOSÉ BONET ◽  
WERNER J. RICKER
Keyword(s):  
Banach Spaces ◽  
Point Spectrum ◽  
Fréchet Spaces ◽  
Cesàro Operator ◽  
Continuous Norm ◽  
Spectrum Point ◽  
Mean Ergodicity ◽  
Cesaro Operator

AbstractThe classical spaces ℓp+, 1 ≤ p < ∞, and Lp−, 1<p ≤ ∞, are countably normed, reflexive Fréchet spaces in which the Cesàro operator C acts continuously. A detailed investigation is made of various operator theoretic properties of C (e.g., spectrum, point spectrum, mean ergodicity) as well as certain aspects concerning the dynamics of C (e.g., hypercyclic, supercyclic, chaos). This complements the results of [3, 4], where C was studied in the spaces ℂℕ, Lploc(ℝ+) for 1 < p < ∞ and C(ℝ+), which belong to a very different collection of Fréchet spaces, called quojections; these are automatically Banach spaces whenever they admit a continuous norm.

scholarly journals The Cesàro Operator on Some Sequence Spaces in Riesz Space of Non-Absolute Type

2020 ◽  
Vol 2 (2) ◽  
pp. 64-68
Author(s):  
E. Herawati ◽  
Supama
Keyword(s):  
Riesz Space ◽  
Sequence Spaces ◽  
Cesàro Operator ◽  
Bounded Operators ◽  
Cesaro Operator

The Cesàro operators are investigated on the class -valued sequence spaces , and with is a Riesz space. Besides, we also carry out that are order bounded operators.

Sign in / Sign up

Export Citation Format

Share Document