Function spaces on evolving hypersurfaces and domains
A new class of function spaces on domains of R^d and its relations to classical function spaces
... of function spaces on domains ...Lebesgue spaces and modulation ...of function spaces and its relations to classical function spaces are ...
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Wavelets in function spaces on cellular domains
... Acknowledgements At first I would like to express my deepest gratitude to my two supervisors, Prof. Hans-Jürgen Schmeißer and Prof. Hans Triebel. They both encouraged me to deal with this topic and always showed their ...
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Function spaces and bounded compositions on metric measure spaces
... The notions of quasiconformality and quasisymmetry are known to coincide in dimensions d > 1. Roughly speaking, the condition for quasiconformality asks that on the infinitesimal level, balls be transformed into ...
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Widths of embeddings in function spaces
... Several overviews may already be found in the literature, cf. [46,34,35,45]. Unfortunately, they sometimes restrict themselves to d = 1, state the results only implicitly, or deal only with integer smoothness parameters ...
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Characterisations of function spaces of generalised smoothness
... in spaces of generalised smoothness in the last ...[Bu99] function spaces of generalised smoothness are investigated in order to characterise properties of bounded extension operators from W l p (Ω) ...
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Interpolatory curl free wavelets on bounded domains and characterization of Besov spaces
... Due to its potential use in many physical problems, like the simulation of incompressi- ble fluids or in electromagnetism, curl-free wavelet bases have been advocated in sev- eral articles and most of the study focus on ...
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Hypersurfaces in Hyperbolic Space with Support Function
... admissible hypersurfaces H n+1 and realizable metrics on domains in S n ...admissible hypersurfaces and realizable metrics based on our embedding ...
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Parabolic PDEs on evolving spaces
... abstract evolving Hilbert spaces can be applied to the case of Lebesgue–Sobolev–Bochner spaces on moving hypersurfaces (and domains), and second, to use the power of this framework to ...
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On Hardy spaces on worm domains
... Hardy spaces on D ˇ and D ˇ 0 we pointed out that the use of the distinguished boundary allows to perform some explicit computations thanks to its product ...smooth function compactly supported in the ...
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Bounded Reinhardt domains in Banach spaces
... We now consider the case where B is the unit ball of lq, 1 q oo . Our method is to show that the Hessian of a certain function is negative semi-definite (as in Proposition 6.5). This leads to rather complicated ...
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Toeplitz and Hankel operators on Hardy spaces of complex domains
... outer function f in the annulus with boundary values given by |f | 2 = ± φ−λ ω , choosing sign ...outer function in the strip {0 < Re(z) < 1} (or disc) with appropriate modulus on the boundary, given ...
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Fluid Spatial Imaginaries: evolving estuarial city-regional spaces
... dual function is hard-wired into the nature of planning in particular, as planners seek to ‘open up’ and think strategically in ways that acknowledge that social, economic and environmental activities are not ...
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Embeddings into Orlicz Spaces for Functions from Unbounded Irregular Domains
... the function ϕ grows linearly, we refer to ( ...ϕ-John domains invariant but makes it possible to control the constants in ...bounded domains should engulf the given unbounded domain and the required ...
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Prime End Boundaries of Domains in Metric Spaces and the Dirichlet Problem
... 3.4 Some examples Somewhat surprisingly, the use of prime ends in the Perron method yields new results for Euclidean domains. For example, consider the classical Dirichlet problem, which considers the standard ...
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Motion of hypersurfaces by curvature
... It is well-known that solutions of such flows necessarily suffer finite time singularities. On the other hand, under various natural conditions, singularities are characterised by a curvature blow-up. Our first main area ...
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Evolving convex hypersurfaces
... one give convergence to the limit shape I· The last chapter of this section concerns a class of anisotropic expansion flows, analogous to the isotropic case considered.. by [r] ...
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Hypersurfaces in the general inner product spaces
... tangent spaces of hypersurfaces, the compatibility of the image or inverse image of a hypersurface and its tangent space under an embedding, an isometry, and a submersion are also pointed ...
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L_1-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures
... conjecture of Bang-Yen Chen says that, the only biharmonic submani- folds of Euclidean spaces are the minimal ones. In this paper, we con- sider a modified version of the conjecture, replacing ∆ by its extension, ...
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Patching - A Framework for Adapting Immutable Classifiers to Evolving Domains
... Should the un- derlying concept drift render the base classifier insufficient, it is still possible to leverage the knowledge and latent features incorporated in a neural network to make[r] ...
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Complete function spaces
... The weakest kind of completeness property is that of being of second category in itself (i.e., a space which cannot be written as a countable union of nowhere dense subsets of itself).. [r] ...
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