2016, Volume 679

General theory of linear operators | Other Dirichlet series and zeta functions | Completeness of eigenfunctions, eigenfunction expansions | Analytic functions | Functions of a complex variable | Partial differential equations | Spaces and algebras of analytic functions | Cyclic vectors, hypercyclic and chaotic operators | Bounded analytic functions | Spectral theory and eigenvalue problems | Operator theory | Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) | Special classes of linear operators | Bergman spaces, Fock spaces | Analytic spaces | Zeta and $L$-functions: analytic theory | Number theory

Conference Proceeding

Advances in Mathematics, ISSN 0001-8708, 04/2018, Volume 329, pp. 157 - 173

.... Given a Banach space X, we study the Cluster Value Problem for the ball algebra Au(BX), the Banach algebra of all uniformly continuous holomorphic functions on the unit ball BX...

Ball algebra | Corona Theorem | Analytic functions of bounded type | Cluster value problem | Fiber | Spectrum | MATHEMATICS | SPACES

Ball algebra | Corona Theorem | Analytic functions of bounded type | Cluster value problem | Fiber | Spectrum | MATHEMATICS | SPACES

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 13

In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius...

30C45 | 30H05 | Analysis | 30A10 | Mathematics, general | Mathematics | Bohr–Rogosinski sum | Applications of Mathematics | Bounded analytic function | Bohr radius | Bohr-type radius | MATHEMATICS | MATHEMATICS, APPLIED | POWER-SERIES | THEOREM | Bohr-Rogosinski sum | Taylor series | Analytic functions | Mathematical analysis | Inequalities | Research

30C45 | 30H05 | Analysis | 30A10 | Mathematics, general | Mathematics | Bohr–Rogosinski sum | Applications of Mathematics | Bounded analytic function | Bohr radius | Bohr-type radius | MATHEMATICS | MATHEMATICS, APPLIED | POWER-SERIES | THEOREM | Bohr-Rogosinski sum | Taylor series | Analytic functions | Mathematical analysis | Inequalities | Research

Journal Article

Mathematica Bohemica, ISSN 0862-7959, 2018, Volume 143, Issue 4, pp. 339 - 354

We generalize some criteria of boundedness of $\mathbf{L}$-index in joint variables for in a bidisc analytic functions...

Partial derivative | Analytic function | Bidisc | Maximum modulus | Bounded L-index in joint variables | Cauchy’s integral formula | partial derivative | bidisc | analytic function | bounded ${\mathbf L}$-index in joint variables | maximum modulus | Cauchy's integral formula

Partial derivative | Analytic function | Bidisc | Maximum modulus | Bounded L-index in joint variables | Cauchy’s integral formula | partial derivative | bidisc | analytic function | bounded ${\mathbf L}$-index in joint variables | maximum modulus | Cauchy's integral formula

Journal Article

Journal of functional analysis, ISSN 0022-1236, 2016, Volume 271, Issue 10, pp. 2899 - 2943

We address the problem of studying the boundedness, compactness and weak compactness of the integral operators Tg(f)(z)=∫0zf(ζ)g′(ζ)dζ acting from a Banach...

Integral operators | Space of bounded analytic functions | MATHEMATICS | TOEPLITZ | DISK ALGEBRA | INEQUALITY | HOLOMORPHIC-FUNCTIONS | H-INFINITY | BERGMAN SPACES

Integral operators | Space of bounded analytic functions | MATHEMATICS | TOEPLITZ | DISK ALGEBRA | INEQUALITY | HOLOMORPHIC-FUNCTIONS | H-INFINITY | BERGMAN SPACES

Journal Article

1989, Pitman research notes in mathematics series, ISBN 0582018560, Volume 206., 347

Book

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, ISSN 1239-629X, 2019, Volume 44, Issue 2, pp. 601 - 613

In the paper composition operators acting on quasi-Banach spaces of analytic functions on the unit disc of the complex plane are studied...

MATHEMATICS | absolutely summing operators | interpolation space | composition operators | order bounded operators | Hardy space | growth spaces

MATHEMATICS | absolutely summing operators | interpolation space | composition operators | order bounded operators | Hardy space | growth spaces

Journal Article

Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2016, Volume 41, Issue 2, pp. 813 - 816

The paper shows that for any G(delta) set F of Lebesgue measure zero on the unit circle T there exists a function f is an element of H-infinity such that the radial limits of f exist at each point of T and vanish precisely on F...

Bounded analytic function | Radial limit | Fatou point | Rubel's problem | MATHEMATICS | radial limit

Bounded analytic function | Radial limit | Fatou point | Rubel's problem | MATHEMATICS | radial limit

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 6/2012, Volume 271, Issue 1, pp. 139 - 155

In this note we introduce the notion of t-analytic sets. Using this concept, we construct a class of closed prime ideals in Banach function algebras and discuss some problems related to Alling’s conjecture in H...

Closed prime ideals | t -Analytic sets | Douglas algebras | Alling’s conjecture | Mathematics, general | Primary 46J15 | Mathematics | Bounded analytic functions | Banach function algebras | Secondary 30H50 | Regularity points | t-Analytic sets | Alling's conjecture | GLEASON PARTS | H-INFINITY | MULTIPLICATION OPERATORS | MATHEMATICS | SUPPORT SETS | STABLE RANK | K-HULLS | Algebra | Mathematics - Functional Analysis

Closed prime ideals | t -Analytic sets | Douglas algebras | Alling’s conjecture | Mathematics, general | Primary 46J15 | Mathematics | Bounded analytic functions | Banach function algebras | Secondary 30H50 | Regularity points | t-Analytic sets | Alling's conjecture | GLEASON PARTS | H-INFINITY | MULTIPLICATION OPERATORS | MATHEMATICS | SUPPORT SETS | STABLE RANK | K-HULLS | Algebra | Mathematics - Functional Analysis

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 08/2017, Volume 290, Issue 11-12, pp. 1612 - 1629

We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions...

Weighted shift on a directed tree | bounded point evaluation | multiplication operator | Primary: 47B37; Secondary: 47L75 | MATHEMATICS | OPERATORS | Mathematics - Functional Analysis

Weighted shift on a directed tree | bounded point evaluation | multiplication operator | Primary: 47B37; Secondary: 47L75 | MATHEMATICS | OPERATORS | Mathematics - Functional Analysis

Journal Article

Bulletin of the Australian Mathematical Society, ISSN 1755-1633, 2019, Volume 101, Issue 3, pp. 1 - 11

We give a partial answer to a question attributed to Chris Miller on algebraic values of certain transcendental functions of order less than one...

MATHEMATICS | NUMBER | transcendental functions | algebraic points | bounded height | POINTS

MATHEMATICS | NUMBER | transcendental functions | algebraic points | bounded height | POINTS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2014, Volume 411, Issue 1, pp. 372 - 380

For a Tychonoff space X, we denote by C (X) and C (X) the space of continuous real-valued functions on X equipped with the topology of pointwise convergence and the compact-open topology respectively...

C(X)- and L | Compact resolution | ℓ | Real compactification | Web-bounded spaces | and t-equivalence | Čech-complete space | Polish space | (X)-spaces | μ-space | Lindelöf σ, K-analytic, analytic spaces | Pointwise countable type spaces | MATHEMATICS | MATHEMATICS, APPLIED | Lindelof Sigma, K-analytic, analytic spaces l(p)-, l(c)- and t-equivalence | C(X)- and L-p(X)-spaces | Cech-complete space | mu-space | Sects

C(X)- and L | Compact resolution | ℓ | Real compactification | Web-bounded spaces | and t-equivalence | Čech-complete space | Polish space | (X)-spaces | μ-space | Lindelöf σ, K-analytic, analytic spaces | Pointwise countable type spaces | MATHEMATICS | MATHEMATICS, APPLIED | Lindelof Sigma, K-analytic, analytic spaces l(p)-, l(c)- and t-equivalence | C(X)- and L-p(X)-spaces | Cech-complete space | mu-space | Sects

Journal Article

Karpats'kì matematinì publìkacìï, ISSN 2075-9827, 06/2019, Volume 11, Issue 1, pp. 14 - 25

We partially reinforce some criteria of $L$-index boundedness in direction for functions analytic in the unit ball...

bounded $l$-index in direction | directional derivative | unit ball | distribution of zero | analytic function | maximum modulus

bounded $l$-index in direction | directional derivative | unit ball | distribution of zero | analytic function | maximum modulus

Journal Article

Journal of Mathematical Physics, Analysis, Geometry, ISSN 1812-9471, 2017, Volume 13, Issue 2, pp. 107 - 118

We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle...

Blaschke product | Stolz angle | Bounded analytic function | Fractional derivative | fractional derivative | bounded analytic function | PHYSICS, MATHEMATICAL | BLASCHKE PRODUCTS

Blaschke product | Stolz angle | Bounded analytic function | Fractional derivative | fractional derivative | bounded analytic function | PHYSICS, MATHEMATICAL | BLASCHKE PRODUCTS

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2012, Volume 2012, Issue 1, pp. 1 - 7

In this article, we study the Hankel determinant problem of a subclass of analytic functions introduced recently by Arif et al...

strongly Bazilevic functions | Analysis | Robertson function | Mathematics, general | Mathematics | bounded boundary rotations | Applications of Mathematics | Hankel determinant | Strongly bazilevic functions | Bounded boundary rotations | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDED BOUNDARY ROTATION

strongly Bazilevic functions | Analysis | Robertson function | Mathematics, general | Mathematics | bounded boundary rotations | Applications of Mathematics | Hankel determinant | Strongly bazilevic functions | Bounded boundary rotations | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDED BOUNDARY ROTATION

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 385, Issue 1, pp. 439 - 446

We determine the relations of the t-analytic sets for the algebra H ∞ of bounded holomorphic functions in the unit disk with those in the Sarason algebra H...

Banach function algebras | Bounded holomorphic functions | Sarason algebra | Strong uniqueness sets | t-Analytic sets | T-analytic sets

Banach function algebras | Bounded holomorphic functions | Sarason algebra | Strong uniqueness sets | t-Analytic sets | T-analytic sets

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 10, pp. 2987 - 2993

Certain classes R k ( μ , α ) ; k ≥ 2 , μ > − 1 , 0 ≤ α < 1 of analytic functions are defined in the unit disc using convolution technique...

Functions with positive real part | Starlike | Convolution | Linear operator | Bounded radius rotation | Ruscheweyh derivative | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNIVALENT-FUNCTIONS | Discs | Operators | Analytic functions | Integrals | Mathematical analysis | Disks | Mathematical models | Invariants

Functions with positive real part | Starlike | Convolution | Linear operator | Bounded radius rotation | Ruscheweyh derivative | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNIVALENT-FUNCTIONS | Discs | Operators | Analytic functions | Integrals | Mathematical analysis | Disks | Mathematical models | Invariants

Journal Article

数学学报：英文版, ISSN 1439-8516, 2014, Volume 30, Issue 7, pp. 1133 - 1144

For real parameters αand β such that 0≤α 〈 1 〈β, we denote by S（α,β） the class of normalized analytic functions which satisfy the following two-sided...

子类 | 半径 | 不等式 | 归一化 | 函数类 | 条件函数 | 单位圆盘 | 解析函数 | 30C45 | 30C55 | Analytic functions | functions of bounded real positive real part | radius problems | starlike functions | Mathematics, general | Mathematics | univalent functions | MATHEMATICS | MATHEMATICS, APPLIED | functions of bounded real positive-real part | CONVEX-FUNCTIONS | Studies | Theorems | Mathematical models | Functions (mathematics) | Texts | Disks | Mathematical analysis | Inequalities

子类 | 半径 | 不等式 | 归一化 | 函数类 | 条件函数 | 单位圆盘 | 解析函数 | 30C45 | 30C55 | Analytic functions | functions of bounded real positive real part | radius problems | starlike functions | Mathematics, general | Mathematics | univalent functions | MATHEMATICS | MATHEMATICS, APPLIED | functions of bounded real positive-real part | CONVEX-FUNCTIONS | Studies | Theorems | Mathematical models | Functions (mathematics) | Texts | Disks | Mathematical analysis | Inequalities

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2013, Volume 141, Issue 4, pp. 1415 - 1422

Consider an expansion of the real field in which every unary definable continuous function can be ultimately majorized by a definable analytic function...

Polynomially bounded structure | Positivstellensatz | Analytic and smooth function | MATHEMATICS | MATHEMATICS, APPLIED | polynomially bounded structure | analytic and smooth function | MOMENT PROBLEM

Polynomially bounded structure | Positivstellensatz | Analytic and smooth function | MATHEMATICS | MATHEMATICS, APPLIED | polynomially bounded structure | analytic and smooth function | MOMENT PROBLEM

Journal Article

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