Differenzierbarkeitseigenschaften Greenscher Funktionen elliptischer Differentialoperatoren.
Complex Interpolation and Fourier Multipliers for the Spaces B.... and F.... of Besov-Hardy-Sobolev Type: The Case 0<p....., 0<q.... .
A diagonal embedding theorem for function spaces with dominating mixed smoothness properties
A localization property for and spaces
Let , where the sum is taken over the lattice of all points k in having integer-valued components, j∈ℕ and . Let be either or (s ∈ ℝ, 0 < p < ∞, 0 < q ≤ ∞) on The aim of the paper is to clarify under what conditions is equivalent to .
Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen
Nukleare Funktionenräume und singuläre elliptische Differentialoperatoren
Multipliers and Unconditional Schauder bases in Besov spaces
Ein hinreichendes Kriterium für die Lösbarkeit der Dirichletschen Randwertaufgabe für quasilineare elliptische Differentialgleichungen
Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds
The paper deals with quarkonial decompositions and entropy numbers in weighted function spaces on hyperbolic manifolds. We use these results to develop a spectral theory of related Schrödinger operators in these hyperbolic worlds.
Eigenschaften Greenscher Funktionen nicht-selbstadjungierter allgemeiner elliptischer Operatoren
Interpolationseigenschaften von Entropie und Durchmesseridealen kompakter Operatoren
A multiplier in Besov spaces which is not a multiplier in Lebesgue spaces
On a class of weighted function spaces and related pseudodifferential operators
Wavelet frames for distributions; local and pointwise regularity
This paper deals with wavelet frames for a large class of distributions on euclidean n-space, including all compactly supported distributions. These representations characterize the global, local, and pointwise regularity of the distribution considered.
Sobolev-Besov spaces of measurable functions
The paper deals with spaces of Sobolev type where s > 0, 0 < p ≤ ∞, and their relations to corresponding spaces of Besov type where s > 0, 0 < p ≤ ∞, 0 < q ≤ ∞, in terms of embedding and real interpolation.
Allgemeine Legendresche Differentialoperatoren II
Boundary values for Sobolev-spaces with weights. Density of for > and
Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
Function spaces of type B and F cover as special cases classical and fractional Sobolev spaces, classical Besov spaces, Hölder-Zygmund spaces and inhomogeneous Hardy spaces. In the last 2 or 3 decades they haven been studied preferably on R and in smooth bounded domains in R including numerous applications to pseudodifferential operators, elliptic boundary value problems etc. To a lesser extent spaces of this type have been considered in Lipschitz domains. But in...
A new approach to function spaces on quasi-metric spaces.
Tractable embeddings of Besov spaces into Zygmund spaces
The paper deals with dimension-controllable (tractable) embeddings of Besov spaces on n-dimensional cubes into Zygmund spaces. This can be expressed in terms of tractability envelopes.
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