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Bulletin of the London Mathematical Society, ISSN 0024-6093, 06/2018, Volume 50, Issue 3, pp. 477 - 486
Given an inner function θ, the associated star‐invariant subspace Kθ∞ is formed by the functions f∈H∞ that annihilate (with respect to the usual pairing) the... 
30J05 (primary) | 46J15 (secondary) | 30H05 | 30H10
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 06/2017, Volume 95, Issue 3, pp. 853 - 874
We study a characterization of slice Carleson measures and of Carleson measures for both the Hardy spaces Hp(B) and the Bergman spaces Ap(B) of the... 
30H20 (primary) | 30G35 | 30H10 | MATHEMATICS | SLICE HYPERHOLOMORPHIC FUNCTIONS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 12/2019, Volume 293, Issue 3, pp. 989 - 1014
We observe that local embedding problems for certain Hardy and Bergman spaces of Dirichlet series are equivalent to boundedness of a class of composition... 
Mathematics, general | Primary 47B33 | Mathematics | 30H20 | Secondary 30B50 | 30H10 | MATHEMATICS | BERGMAN SPACES | H-2 SPACE | APPROXIMATION NUMBERS
Journal Article
Numerische Mathematik, ISSN 0029-599X, 05/2016, Volume 133, Issue 1, pp. 103 - 139
We consider time harmonic wave equations in cylindrical wave-guides with physical solutions for which the signs of group and phase velocities differ. The... 
35J50 | 65N30 | 30H10 | MATHEMATICS, APPLIED | PERFECTLY MATCHED LAYERS | Waveguides | Analysis
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 09/2019, Volume 2019, Issue 754, pp. 179 - 223
For a Dirichlet series symbol , the associated Volterra operator acting on a Dirichlet series is defined by the integral We show that is a bounded operator on... 
MATHEMATICS | H-P | HILBERT-SPACE | THEOREM | INEQUALITY
Journal Article
Concrete Operators, ISSN 2299-3282, 04/2019, Volume 6, Issue 1, pp. 44 - 57
We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as... 
Primary 30G35 | Secondary 30H10, 30J05 | primary 30g35 | secondary 30h10, 30j05
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 02/2020, Volume 101, Issue 1, pp. 271 - 298
For a bounded Hankel matrix Γ, we describe the structure of the Schmidt subspaces of Γ, namely the eigenspaces of Γ∗Γ corresponding to non‐zero eigenvalues. We... 
30H10 (primary) | 47B35 | MATHEMATICS | MULTIPLIERS | INVARIANT SUBSPACES | KERNELS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2018, Volume 463, Issue 2, pp. 659 - 680
For 0−1 the space of Dirichlet type Dαp consists of those functions f which are analytic in the unit disc D and satisfy ∫D(1−|z|)α|f′(z)|pdA(z)<∞.... 
Dirichlet spaces | Hardy spaces | Superposition operators | MATHEMATICS | MATHEMATICS, APPLIED | Q(P) SPACES | CARLESON MEASURES | UNIVALENT-FUNCTIONS | GROWTH | MULTIPLIERS | ANALYTIC-FUNCTIONS | ZEROS | Mathematics - Complex Variables
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 12/2018, Volume 50, Issue 6, pp. 1102 - 1112
Let M be a finite von Neumann algebra with a faithful normal tracial state τ and A be a finite subdiagonal subalgebra of M with respect to a τ‐preserving... 
11C20 | 30H10 (secondary) | 47C15 (primary) | 15A45 | 46L10 | MATHEMATICS | Mathematics - Operator Algebras
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 8/2018, Volume 90, Issue 4, pp. 1 - 7
Given an interpolating Blaschke product B with zeros $$\{a_j\}$$ {aj} , we seek to characterize the sequences of values $$\{w_j\}$$ {wj} for which the... 
Model subspaces | Interpolating Blaschke product | 30H05 | Analysis | 30J05 | 47B35 | Hardy spaces | Mathematics | Inner function | 30H10
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 8/2013, Volume 274, Issue 3, pp. 1327 - 1339
The Dirichlet–Hardy space $${\fancyscript{H}}^2$$ consists of those Dirichlet series $$\sum _n a_n n^{-s}$$ for which $$\sum _n |a_n|^2<\infty $$ . It is shown... 
Mathematics, general | Mathematics | 30B50 | 30C15 | 30H10 | MATHEMATICS | Heterocyclic compounds
Journal Article
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 12/2018, Volume 2018, Issue 24, pp. 7655 - 7680
The existence of a counterexample to the infinite-dimensional Carleson embedding theorem has been established by Nazarov, Pisier, Treil, and Volberg. We... 
MATHEMATICS | OPERATORS | Mathematics - Functional Analysis | Mathematics | Naturvetenskap | Natural Sciences | Matematik
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 12/2017, Volume 290, Issue 17-18, pp. 2725 - 2739
In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss... 
30G35 | unit ball | half space | Quaternionic fractional Hardy spaces | 30H10 | Unit ball | Half space | MATHEMATICS
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 02/2015, Volume 288, Issue 2-3, pp. 334 - 342
For normalized analytic functions f in the unit disk, the estimate of the integral means L1(r,f):=r22π∫−ππdθ|f(reiθ)|2is important in certain problems in fluid... 
univalent | Secondary: 30H10, 33C05 | starlike functions | Dirichlet‐finite | Primary: 30C45, 30C70 | Analytic | area integral | Hadamard product | Area integral | Starlike functions | Dirichlet-finite | Univalent | YAMASHITAS CONJECTURE | 33C05 | MATHEMATICS | Secondary: 30H10 | AREA | Primary: 30C45 | UNIVALENT-FUNCTIONS | 30C70
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2019, Volume 13, Issue 1, pp. 127 - 139
We emphasize a bridge between two areas of function theory: hilbertian Müntz spaces and model spaces of the Hardy space of the right half plane. We give... 
30B10 | Operator Theory | Primary 46E22 | Müntz spaces | Analysis | Model spaces | Mathematics, general | Mathematics | Mellin transform | 30H10
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 06/2018, Volume 68, Issue 2, pp. 387 - 414
Journal Article
05/2015
Pacific J. Math. 291 (2017) 81-120 We investigate the compactness of composition operators on the Hardy space of Dirichlet series induced by a map... 
Mathematics - Functional Analysis
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 11/2018, Volume 111, Issue 5, pp. 513 - 522
Čučković and Paudyal recently characterized the lattice of invariant subspaces of the shift plus a complex Volterra operator on the Hilbert space $$H^2$$ H 2... 
45P05 | Invariant subspace | Volterra operator | Mathematics, general | Mathematics | Shift operator | Hardy space | 30H10 | MATHEMATICS
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2019, Volume 91, Issue 5, pp. 1 - 26
This paper discusses how much information on a Friedrichs model operator can be detected from ‘measurements on the boundary’. We use the framework of boundary... 
Detectable subspace | Analysis | 34L05 | 47B35 | Mathematics | 47A10 | M -function | Friedrichs model | Primary 47G10 | Inverse problem | Secondary 30H10
Journal Article
Mathematika, ISSN 0025-5793, 2019, Volume 65, Issue 1, pp. 132 - 156
We characterize all bounded Hankel operators Г such that Г*Г has finite spectrum. We identify spectral data corresponding to such operators and construct... 
30H10 (primary) | 47B35 | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
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