Results 41 to 50 of about 4,109,228 (193)
HADAMARD GAPS IN WEIGHTED LOGARITHMIC BLOCH SPACE [PDF]
, 2010 We give a sufficient and a necessary condition for an analytic function "f" on the unit disk "D" with Hadamard gap to belong to a class of weighted logarithmic Bloch space as well as to the corresponding little weighted logarithmic Bloch space under some
Kamal, A. +3 more
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Composition operators on Bloch-Orlicz type Spaces of the unit Ball
四川大学学报. 自然科学版, 2018 Using Young’s functions, we define the Bloch-Orlicz space and show that the Bloch-Orlicz space is isometrically equal to a special certain -Bloch space. By the analysis methods and constructing test functions, we investigate the boundedness, compactness ...
HE Zhong-Hua, DENG Yi
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Etienne Bloch: bibliógrafo de Marc Bloch [PDF]
, 2018 Étienne Bloch (1921-2009) dedicó los últimos años de su vida al rescate y difusión de la obra escrita por su padre, el gran historiador francés Marc Bloch (1886-1944).
Reinaldo Rojas, Rojas, Reinaldo
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Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space
四川大学学报. 自然科学版, 2017 We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an
ZHOU Ning, CHEN Cui
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TOEPLITZ OPERATORS ON BLOCH-TYPE SPACES AND A GENERALIZATION OF BLOCH-TYPE SPACES
Journal of the Chungcheong Mathematical Society, 2014 We deal with the boundedness of the n-th derivatives of Bloch-type functions and Toeplitz operators and give a relationship between Bloch-type spaces and ranges of Toeplitz operators. Also we prove that the vanishing property of jjuk fi jj s;fi on the boundary ofD implies the compactness of Toeplitz operators and introduce a generalization of Bloch ...
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The closure of Dirichlet spaces in the Bloch space
Annales Academiae Scientiarum Fennicae Mathematica, 2019 Let $\mathbb{D}$ be the open unit disk in the complex plane, and let $\mathrm{Hol}(\mathbb{D})$ denote the class of holomorphic functions in the unit disk. A function $f\in \mathrm{Hol}(\mathbb{D})$ is said to belong to the Bloch space $\mathcal{B}$ if \[ \|f\|_{\mathcal{B}}=|f(0)|+\sup_{z\in\mathbf{D}}(1-|z|^2)|f^\prime (z)|-1$, and $p\in (0, \infty)$,
Galanopoulos, Petros, Girela, Daniel
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Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc
Abstract and Applied Analysis, 2007 Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
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Non-Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space
Journal of Mathematics, 2022 In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou, Yuxia Liang
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AxiomsIn this paper, we investigate the generalized integral-type operator acting between the fractional Cauchy transform space and two classical analytic function spaces: the weighted Bloch space and the weighted Dirichlet space.
Mostafa Hassanlou +2 more
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Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces
Journal of Function Spaces, 2019 This research is concerned with second-order linear differential equation f′′+A(z)f=0, where A(z) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α-Bloch (little α-Bloch) space are found by
Jianren Long +3 more
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