Results 41 to 50 of about 5,186,045 (202)
, 2010 In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizations to other domains or several variables. Additionally, we focus mainly on certain function theoretic properties of the Dirichlet space and omit covering the interesting ...
ARCOZZI, NICOLA +3 more
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De Branges–Rovnyak spaces and Dirichlet spaces
Journal of Functional Analysis, 2010 For a function \(b\) in the unit ball of \(H^{\infty}=H^{\infty}(\mathbb{D})\), the de Branges-Rovnyak space \(\mathcal{H}(b)\), as a linear space, is the image of the Hardy space \(H^2\) under the operator \((I-T_{b}T_{\bar{b}})^{1/2}\), where \(T_b\) and \(T_{\bar{b}}\) are Toeplitz operators on \(H^2\) with symbols \(b\) and \(\bar{b ...
Chevrot, Nicolas +2 more
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Cyclic polynomials in anisotropic Dirichlet spaces [PDF]
Journal d'Analyse Mathématique, 2019 Consider the Dirichlet-type space on the bidisk consisting of holomorphic functions $f(z_1,z_2):=\sum_{k,l\geq 0}a_{kl}z_1^kz_2^l$ such that $\sum_{k,l\geq 0}(k+1)^{ _1} (l+1)^{ _2}|a_{kl}|^2 1$ and $\min\{ _1, _2\}\leq 1$, then $p$ is cyclic if and only if it has finitely many zeros in the two-torus $\mathbb T^2$; if $\min\{ _1, _2\}>1$, then
Knese, Greg +3 more
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Free energy and defect C-theorem in free fermion
Journal of High Energy Physics, 2021 We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍ p+1 × S $$ \mathbbm{S} $$ d−p−1.
Yoshiki Sato
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Semantic N-Gram Topic Modeling [PDF]
EAI Endorsed Transactions on Scalable Information Systems, 2020 In this paper a novel approach for effective topic modeling is presented. The approach is different fromtraditional vector space model-based topic modeling, where the Bag of Words (BOW) approach is followed.The novelty of our approach is that in phrase ...
Pooja Kherwa, Poonam Bansal
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TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Acta Polytechnica, 2016 Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska +1 more
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Solving Poisson Equation by Distributional HK-Integral: Prospects and Limitations
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function Dℝ2. Here, it uses two-dimensional Henstock–Kurzweil integral.
Amila J. Maldeniya +3 more
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Level sets and Composition operators on the Dirichlet space [PDF]
, 2010 We consider composition operators in the Dirichlet space of the unit disc in the plane. Various criteria on boundedness, compactness and Hilbert-Schmidt class membership are established. Some of these criteria are shown to be optimal.
O. El-Fallah +3 more
semanticscholar +1 more source
Embedding Theorems for Dirichlet Type Spaces
Canadian Mathematical Bulletin, 2019 AbstractWe use the Carleson measure-embedding theorem for weighted Bergman spaces to characterize the positive Borel measures $\unicode[STIX]{x1D707}$ on the unit disc such that certain analytic function spaces of Dirichlet type are embedded (compactly embedded) in certain tent spaces associated with a measure $\unicode[STIX]{x1D707}$.
Li, Songxiao, Liu, Junming, Yuan, Cheng
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Melt Grafting of Geometry‐Tailored Voltage Stabilizers for High‐Performance Polypropylene Insulation
Advanced Functional Materials, EarlyView.A scalable one‐step melt grafting strategy is developed to enhance the dielectric properties of isotactic polypropylene by covalently incorporating thermally stable aromatic voltage stabilizers. This solvent‐free approach improves volume resistivity and DC breakdown strength through deep trap formation and charge localization, offering a sustainable ...
Nazirul Mubin bin Normansah +9 more
wiley +1 more source