Some recent developments in the theory of function spaces involving differences
From MaRDI portal
Publication:395440
DOI10.1007/s11784-013-0129-0zbMath1294.46032OpenAlexW2027961474WikidataQ57339745 ScholiaQ57339745MaRDI QIDQ395440
Hans Triebel, Haroske, Dorothee D.
Publication date: 29 January 2014
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-013-0129-0
Related Items
Characterizations of Sobolev spaces via averages on balls ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls ⋮ Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls ⋮ Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gagliardo-Nirenberg inequalities
- Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
- Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
- Limits of Besov norms
- Spaces of variable smoothness and integrability: characterizations by local means and ball means of differences
- New characterizations of Hajłasz-Sobolev spaces on metric spaces
- Local growth envelopes of Besov spaces of generalized smoothness
- On dilation operators and sampling numbers
- A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions
- Spaces of Sobolev type with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes
- Bases in function spaces, sampling, discrepancy, numerical integration
- Weak type inequalities for moduli of smoothness: The case of limit value parameters
- On dilation operators in Besov spaces
- On dilation operators in Triebel-Lizorkin spaces
- Besov spaces with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes
- Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
- On the Brezis and Mironescu conjecture concerning a Gagliardo--Nirenberg inequality for fractional Sobolev norms.
- Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers
- Ul'yanov and Nikol'skii-type inequalities
- Limits of higher-order Besov spaces and sharp reiteration theorems
- Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
- Sobolev spaces on an arbitrary metric space
- Local function spaces, heat and Navier-Stokes equations
- Inequalities for moduli of smoothness versus embeddings of function spaces
- Pointwise characterization of Sobolev classes
- Continuity envelopes and sharp embeddings in spaces of generalized smoothness
- Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\)
- Sharp estimates of the embedding constants for Besov spaces
- Local growth envelopes of Triebel--Lizorkin spaces of generalized smoothness
- Pointwise characterizations of Hardy-Sobolev functions
- Ulteriori proprieta di alcune classi di funzioni in piu variabili
- Remarks on the Bourgain–Brezis–Mironescu Approach to Sobolev Spaces
- Sobolev–Besov spaces of measurable functions
- Embeddings of function spaces: a criterion in terms of differences
- On some characterizations of Besov spaces of generalized smoothness
- Spaces of Functions of Generalized Smoothness
- Interpolation of Besov Spaces
- Weakly Differentiable Functions
- Besov Spaces on Domains in ℝ d
- Pointwise inequalities for Sobolev functions revisited
- Tailored Besov spaces andh-sets
- Function spaces of generalised smoothness
- Notes on limits of Sobolev spaces and the continuity of interpolation scales
- A new characterization of the Sobolev space
- Interpolation properties of Besov spaces defined on metric spaces
- Whitney’s jets for Sobolev functions
- Inequalities of Gagliardo-Nirenberg type and estimates for the moduli of continuity
- On limiting embeddings of Besov spaces
- An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation