Add to ORKG40-41В работе получена улучшенная версия неравенства Бора для аналитических функций, определенных в единичном круге D = {z ∈C : |z| ≤ 1}.An improved version of the Bohr inequality for analytic functions defined on the unit disc D = {z ∈ C : |z| ≤ 1} is obtained
Let p ∈ (2, +∞], n ≥ 1 and ∆ = (∆1, . . . , ∆n), ∆k > 0, 1 ≤ k ≤ n. It is proved that for functions ...
Bohr's classical theorem and its generalizations are now active areas of research and have been the ...
Abstract. For 0 < α ≤ 1, 0 ≤ β ≤ λ ≤ 1, 0 ≤ δ < 1, 0 ≤ ν < 1 and ρ> 0, let <(Φ,Ψ;λ, β...
© 2018 Académie des sciences In this article, we prove several different improved versions of the cl...
© 2020 Elsevier Inc. This article is devoted to the sharp improvement of the classical Bohr inequali...
© 2019 American Mathematical Society. In this paper, we introduce the study of the Bohr phenomenon f...
AbstractIn this paper we provide an account of various results that have been obtained concerning Bo...
Abstract. We establish an operator extension of the following generalization of Bohr’s inequality, d...
© 2020, Pleiades Publishing, Ltd. Abstract: In this paper we first consider another version of the R...
We investigate an analog of Bohr’s results for the Cesáro operator acting on the space of holomorphi...
© 2018, Springer Nature Singapore Pte Ltd. There has been a number of problems closely connected wit...
The paper is a review of the latest results of I. R. Kayumov and S. Ponnusamy on the Bohr inequality...
© 2018 Elsevier Inc. We determine the Bohr radius for the class of all functions f of the form f(z)=...
Let p ∈ (2,+∞), n ≥ 1, S be an open subset of Rn, and Γ(S, p) be a set of all the functions γ ∈ Lp(R...
Bohr theorem [14] states that holomorphic functions bounded by 1 in the unit disk have power series ...
Let p ∈ (2, +∞], n ≥ 1 and ∆ = (∆1, . . . , ∆n), ∆k > 0, 1 ≤ k ≤ n. It is proved that for functions ...
Bohr's classical theorem and its generalizations are now active areas of research and have been the ...
Abstract. For 0 < α ≤ 1, 0 ≤ β ≤ λ ≤ 1, 0 ≤ δ < 1, 0 ≤ ν < 1 and ρ> 0, let <(Φ,Ψ;λ, β...
© 2018 Académie des sciences In this article, we prove several different improved versions of the cl...
© 2020 Elsevier Inc. This article is devoted to the sharp improvement of the classical Bohr inequali...
© 2019 American Mathematical Society. In this paper, we introduce the study of the Bohr phenomenon f...
AbstractIn this paper we provide an account of various results that have been obtained concerning Bo...
Abstract. We establish an operator extension of the following generalization of Bohr’s inequality, d...
© 2020, Pleiades Publishing, Ltd. Abstract: In this paper we first consider another version of the R...
We investigate an analog of Bohr’s results for the Cesáro operator acting on the space of holomorphi...
© 2018, Springer Nature Singapore Pte Ltd. There has been a number of problems closely connected wit...
The paper is a review of the latest results of I. R. Kayumov and S. Ponnusamy on the Bohr inequality...
© 2018 Elsevier Inc. We determine the Bohr radius for the class of all functions f of the form f(z)=...
Let p ∈ (2,+∞), n ≥ 1, S be an open subset of Rn, and Γ(S, p) be a set of all the functions γ ∈ Lp(R...
Bohr theorem [14] states that holomorphic functions bounded by 1 in the unit disk have power series ...
Let p ∈ (2, +∞], n ≥ 1 and ∆ = (∆1, . . . , ∆n), ∆k > 0, 1 ≤ k ≤ n. It is proved that for functions ...
Bohr's classical theorem and its generalizations are now active areas of research and have been the ...
Abstract. For 0 < α ≤ 1, 0 ≤ β ≤ λ ≤ 1, 0 ≤ δ < 1, 0 ≤ ν < 1 and ρ> 0, let <(Φ,Ψ;λ, β...