Results 31 to 40 of about 5,186,045 (202)
Cyclicity in the Dirichlet space
Arkiv för Matematik, 2006 Let $\mathcal{D}$ be the Dirichlet space, namely the space of holomorphic functions on the unit disk whose derivative is square-integrable. We give a new sufficient condition, not far from the known necessary condition, for a function f∈ $\mathcal{D}$ to be cyclic, i.e. for {pf: p is a polynomial} to be dense in $\mathcal{D}$ .
El-Fallah, Omar +2 more
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Two remarks on composition operators on the Dirichlet space [PDF]
, 2014 We show that the decay of approximation numbers of compact composition operators on the Dirichlet space $\mathcal{D}$ can be as slow as we wish, which was left open in the cited work. We also prove the optimality of a result of O.~El-Fallah, K.~Kellay, M.
Daniel Li +2 more
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Space‐time fractional Dirichlet problems
Mathematische Nachrichten, 2018 AbstractThis paper establishes explicit solutions for fractional diffusion problems on bounded domains. It also gives stochastic solutions, in terms of Markov processes time‐changed by an inverse stable subordinator whose index equals the order of the fractional time derivative.
Boris Baeumer +2 more
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An Improved Version of Residual Power Series Method for Space-Time Fractional Problems
Advances in Mathematical Physics, 2022 The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter
Mine Aylin Bayrak +2 more
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Mathematical Modelling and Analysis, 2023 This paper investigates the existence result of entropy solution for some nonlinear degenerate parabolic problem in weighted Sobolov space with Dirichlet type boundary conditions and L1 data.
Lhoucine Hmidouch +2 more
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On the closed range problem for composition operators on the Dirichlet space
Concrete Operators, 2019 We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing
Zorboska Nina
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Teacher professional learning community and interdisciplinary collaborative teaching path under the informationization basic education model [PDF]
Yugoslav Journal of Operations ResearchThe construction of a learning community cannot be separated from the participation of information technology. The current teacher learning community has problems of low interaction efficiency and insufficient enthusiasm for group cooperative teaching ...
Li Gen, Jamil Hazri Bin
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Compact composition operators on the Dirichlet space and capacity of sets of contact points [PDF]
, 2012 In this paper, we prove that for every compact set of the unit disk of logarithmic capacity 0, there exists a Schur function both in the disk algebra and in the Dirichlet space such that the associated composition operator is in all Schatten classes (of ...
P. Lefèvre +3 more
semanticscholar +1 more source
Regular Representations of Dirichlet Spaces [PDF]
Transactions of the American Mathematical Society, 1971 We construct a regular and a strongly regular Dirichlet space which are equivalent to a given Dirichlet space in the sense that their associated function algebras are isomorphic and isometric. There is an appropriate strong Markov process called a Ray process on the underlying space of each strongly regular Dirichlet space.
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Approximation numbers of composition operators on the Dirichlet space [PDF]
, 2012 We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers.
P. Lefèvre +3 more
semanticscholar +1 more source