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1
Content available remote

Tractable embeddings of Besov spaces into Zygmund spaces, II

100%
Triebel H.
Banach Center Publications
|
2014
|
tom 102
|
nr 1
229-235
EN
The paper deals with dimension-controllable (tractable) embeddings of Besov spaces on n-dimensional cubes into Zygmund spaces.
2
Content available remote

Tractable embeddings of Besov spaces into Zygmund spaces

100%
Triebel H.
Banach Center Publications
|
2011
|
tom 92
|
nr 1
361-377
EN
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.
3
Content available remote

Sobolev-Besov spaces of measurable functions

100%
Triebel H.
Studia Mathematica
|
2010
|
tom 201
|
nr 1
69-86
EN
The paper deals with spaces $L^{s}_{p}(ℝⁿ)$ of Sobolev type where s > 0, 0 < p ≤ ∞, and their relations to corresponding spaces $B^{s}_{p,q}({ℝ}ⁿ)$ of Besov type where s > 0, 0 < p ≤ ∞, 0 < q ≤ ∞, in terms of embedding and real interpolation.
4
Content available remote

A localization property for $B^{s}_{pq}$ and $F^{s}_{pq}$ spaces

100%
Triebel H.
Studia Mathematica
|
1994
|
tom 109
|
nr 2
183-195
EN
Let $f^{j} = ∑_{k} a_{k} f(2^{j+1}x - 2k)$, where the sum is taken over the lattice of all points k in $ℝ^n$ having integer-valued components, j∈ℕ and $a_k ∈ ℂ$. Let $A^{s}_{pq}$ be either $B^{s}_{pq}$ or $F^{s}_{pq}$ (s ∈ ℝ, 0 < p < ∞, 0 < q ≤ ∞) on $ℝ^n.$ The aim of the paper is to clarify under what conditions $∥f^{j} | A^{s}_{pq}∥$ is equivalent to $2^{j(s-n/p)} (∑_{k} |a_k|^p)^{1/p} ∥f | A^{s}_{pq}∥$.
5
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A diagonal embedding theorem for function spaces with dominating mixed smoothness properties

100%
Triebel H.
Banach Center Publications
|
1989
|
tom 22
|
nr 1
475-486
6
Content available remote

Wavelet frames for distributions; local and pointwise regularity

100%
Triebel H.
Studia Mathematica
|
2003
|
tom 154
|
nr 1
59-88
EN
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.
7

Characterizations of some function spaces in terms of Haar wavelets

100%
Triebel H.
Commentationes Mathematicae
|
2013
|
tom 53
|
nr 2
EN
Some spaces \(\ensuremath{A^s_{p,q}} (\rn)\) with \(A = \{ B,F \}\), \(s\in \real\), \(0
8
Content available remote

Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds

100%
Triebel H.
Studia Mathematica
|
1999
|
tom 134
|
nr 2
179-202
EN
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.
9
Content available remote

A note on wavelet bases in function spaces

100%
Triebel H.
Banach Center Publications
|
2004
|
tom 64
|
nr 1
193-206
10
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Local means and wavelets in function spaces

100%
Triebel H.
Banach Center Publications
|
2008
|
tom 79
|
nr 1
215-234
EN
The paper deals with local means and wavelet bases in weighted and unweighted function spaces of type $B^s_{pq}$ and $F^s_{pq}$ on ℝⁿ and on 𝕋ⁿ.
11
Content available remote

A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces

64%
Triebel H., Winkelvoss H.
Studia Mathematica
|
1996
|
tom 121
|
nr 2
149-166
EN
Let Γ be a closed set in $ℝ^n$ with Lebesgue measure |Γ| = 0. The first aim of the paper is to give a Fourier analytical characterization of Hausdorff dimension of Γ. Let 0 < d < n. If there exist a Borel measure µ with supp µ ⊂ Γ and constants $c_{1} > 0$ and $c_{2} > 0$ such that $c_{1}r^{d} ≤ µ (B(x,r)) ≤ c_{2}r^{d}$ for all 0 < r < 1 and all x ∈ Γ, where B(x,r) is a ball with centre x and radius r, then Γ is called a d-set. The second aim of the paper is to provide a link between the related Lebesgue spaces $L_{p}(Γ)$, 0 < p ≤ ∞, with respect to that measure µ on the hand and the Fourier analytically defined Besov spaces $B^s_{p,q}(ℝ^n)$ (s ∈ ℝ, 0 < p ≤ ∞, 0 < q ≤ ∞) on the other hand.
12
Content available remote

Ein hinreichendes Kriterium für die Lösbarkeit der Dirichletschen Randwertaufgabe für quasilineare elliptische Differentialgleichungen

63%
Triebel H.
Studia Mathematica
|
1966-1968
|
tom 29
|
nr 2
117-124
13
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A multiplier in Besov spaces which is not a multiplier in Lebesgue spaces

50%
Triebel H.
Banach Center Publications
|
1979
|
tom 4
|
nr 1
287-291
14
Content available remote

Eigenschaften Greenscher Funktionen nicht-selbstadjungierter allgemeiner elliptischer Operatoren

50%
Triebel H.
Studia Mathematica
|
1968
|
tom 30
|
nr 3
339-353
15
Content available remote

Interpolationstheorie für Banachideale von beschränkten linearen Operatoren

45%
Pietsch A., Triebel H.
Studia Mathematica
|
1968
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tom 31
|
nr 1
95-109
16
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On a class of weighted function spaces and related pseudodifferential operators

44%
Triebel H.
Studia Mathematica
|
1988
|
tom 90
|
nr 1
37-68
17
Content available remote

Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen

44%
Triebel H.
Studia Mathematica
|
1973
|
tom 46
|
nr 1
83-100
18
Content available remote

Interpolationseigenschaften von Entropie und Durchmesseridealen kompakter Operatoren

44%
Triebel H.
Studia Mathematica
|
1970
|
tom 34
|
nr 1
89-107
19
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Nukleare Funktionenräume und singuläre elliptische Differentialoperatoren

38%
Triebel H.
Studia Mathematica
|
1970
|
tom 38
|
nr 1
285-311
20
Content available remote

Multipliers and Unconditional Schauder bases in Besov spaces

32%
Triebel H.
Studia Mathematica
|
1977
|
tom 60
|
nr 2
145-156
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