Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type
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Publication:1102498
DOI10.1007/BF01909369zbMath0644.46022MaRDI QIDQ1102498
Publication date: 1986
Published in: Analysis Mathematica (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05)
Related Items (27)
Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ On the composition operators on Besov and Triebel–Lizorkin spaces with power weights ⋮ Functional calculus in certainLizorkin-Triebel spaces ⋮ Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type ⋮ The root-unroot algorithm for density estimation as implemented via wavelet block thresholding ⋮ Asymptotic equivalence of spectral density estimation and Gaussian white noise ⋮ Multiplicity results for semilinear elliptic boundary value problems in Besov and Triebel-Lizorkin spaces ⋮ Gagliardo-Nirenberg inequalities and non-inequalities: the full story ⋮ On the admissibility of function spaces of type \(B^ s_{p,q}\) and \(F^ s_{p,q}\), and boundary value problems for non-linear partial differential equations ⋮ Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type $B^s_{p,q}$ and $F^s_{p,q}$ ⋮ Stability analysis for stationary solutions of the Mullins–Sekerka flow with boundary contact ⋮ Dahlberg degeneracy for homogeneous Besov and Triebel–Lizorkin spaces ⋮ Higher differentiability for bounded solutions to a class of obstacle problems with \((p, q)\)-growth ⋮ On uniqueness for half-wave maps in dimension 𝑑≥3 ⋮ Cauchy problem for incompressible neo-Hookean materials ⋮ Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact ⋮ Bounded minimisers of double phase variational integrals ⋮ On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: well-definedness and higher-order chain rule ⋮ Functional calculus in fractional Sobolev spaces ⋮ Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems ⋮ Composition operators on Lizorkin-Triebel spaces ⋮ Nonparametric regression in exponential families ⋮ Trace theory for Sobolev mappings into a manifold ⋮ The composition in multidimensional Triebel-Lizorkin spaces ⋮ Lifting in Sobolev spaces ⋮ On boundedness of superposition operators in spaces of Triebel-Lizorkin type ⋮ Fonctions qui opèrent sur les espaces de Besov et de Triebel. (Functions which operate on Besov and Triebel spaces.)
Cites Work
- Para-differential operators in spaces of Triebel-Lizorkin and Besov type
- On the existence of capacitary strong type estimates in \(R^n\)
- Some observations on Besov and Lizorkin-Triebel spaces.
- On the Spaces of T<scp>riebel‐</scp>L<scp>izorkin</scp> Type: Pointwise Multipliers and Spaces on Domains
- Some Maximal Inequalities
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