Truncated smooth function spaces
DOI10.1090/TRAN/9259MaRDI QIDQ6631319
Sergey Tikhonov, Oscar Domínguez
Publication date: 1 November 2024
Published in: (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Numerical methods for wavelets (65T60) Interpolation between normed linear spaces (46B70)
Cites Work
- Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups
- Hitchhiker's guide to the fractional Sobolev spaces
- On Besov spaces of logarithmic smoothness and Lipschitz spaces
- Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
- Optimal embeddings of spaces of generalized smoothness in the critical case
- Limiting interpolation spaces via extrapolation
- Real interpolation with logarithmic functors.
- Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
- Spaces of generalized smoothness in the critical case: optimal embeddings, continuity envelopes and approximation numbers
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
- Local growth envelopes of Besov spaces of generalized smoothness
- Function spaces and wavelets on domains
- Reiteration theorems for real interpolation and approximation spaces
- Weak interpolation in Banach spaces
- Asymptotic properties of solutions of differential equations with simple characteristics
- Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
- Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications
- Duality for logarithmic interpolation spaces when \(0<q < 1\) and applications
- Wavelet bases in generalized Besov spaces
- Compactness for nonlinear continuity equations
- Dyadic norm Besov-type spaces as trace spaces on regular trees
- On the Sobolev space of functions with derivative of logarithmic order
- Optimality of logarithmic interpolation inequalities and extension criteria to the Navier-Stokes and Euler equations in Vishik spaces
- Optimality of Serrin type extension criteria to the Navier-Stokes equations
- Lower bounds for integration and recovery in \(L_2\)
- Embeddings and characterizations of Lipschitz spaces
- The logarithmic Sobolev capacity
- Convergence of numerical approximations to non-linear continuity equations with rough force fields
- Description of logarithmic interpolation spaces by means of the \(J\)-functional and applications
- Growth envelopes of anisotropic function spaces
- Symmetrization inequalities in the fractional case and Besov embeddings
- Characterisations of function spaces of generalised smoothness
- Local growth envelopes of Triebel--Lizorkin spaces of generalized smoothness
- Continuity envelopes of spaces of generalized smoothness in the critical case
- \(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type
- Estimates and regularity results for the DiPerna-Lions flow
- Spaces of Functions of Generalized Smoothness
- Imbedding theorems of Sobolev type in potential theory.
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Some observations on Besov and Lizorkin-Triebel spaces.
- A function parameter in connection with interpolation of Banach spaces.
- On riesz-type inequalities and k-functionals related to riesz potentials in
- Function spaces of generalised smoothness
- A new approach to bounds on mixing
- Trace and extension theorems for functions of bounded variation
- Limiting reiteration for real interpolation with slowly varying functions
- Local growth envelopes of spaces of generalized smoothness: the subcriticalcase
- Local growth envelopes of spaces of generalized smoothness: the critical case
- Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
- On the Spaces of T<scp>riebel‐</scp>L<scp>izorkin</scp> Type: Pointwise Multipliers and Spaces on Domains
- Remark on the Dual of an Interpolation Space.
- Theory of Function Spaces IV
- Sobolev Spaces
- Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
- Path regularity of the Brownian motion and the Brownian sheet
- Pointwise multipliers for Besov spaces \(B^{0,b}_{p,\infty}({\mathbb{R}}^n)\) with only logarithmic smoothness
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
Related Items (2)
This page was built for publication: Truncated smooth function spaces
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6631319)