On operator-valued Fourier multiplier theorems
From MaRDI portal
Publication:3433728
DOI10.1090/S0002-9947-07-04417-0zbMath1209.42005MaRDI QIDQ3433728
Publication date: 2 May 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Spaces of vector- and operator-valued functions (46E40) Multipliers for harmonic analysis in several variables (42B15) Probabilistic methods in Banach space theory (46B09) Multipliers in one variable harmonic analysis (42A45)
Related Items (21)
Vector-valued Hilbert transforms along curves ⋮ ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INLP([0,T;E) SPACES] ⋮ Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data ⋮ Riesz transforms on \(ax+b\) groups ⋮ Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations ⋮ \(L_p\)-maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders ⋮ Strichartz estimates for equations with structured Lipschitz coefficients ⋮ The Laplacian on cylindrical domains ⋮ Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces. ⋮ Fourier multipliers in Banach function spaces with UMD concavifications ⋮ Carleman estimates and unique continuation property for the anisotropic differential-operator equations ⋮ Dunkl spectral multipliers with values in UMD lattices ⋮ Fourier multiplier theorems involving type and cotype ⋮ Local strong solutions for the non-linear thermoelastic plate equation on rectangular domains in \(L^p\)-spaces ⋮ Operator-valued Fourier multipliers on multi-dimensional Hardy spaces ⋮ \(\gamma \)-bounded representations of amenable groups ⋮ Anisotropic Fourier multipliers and singular integrals for vector-valued functions ⋮ Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality ⋮ Unnamed Item ⋮ Weighted estimates for operator-valued Fourier multipliers ⋮ The L p -Helmholtz projection in finite cylinders
Cites Work
- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Maximal regularity of discrete and continuous time evolution equations
- On Fourier Multiplier Transformations of Banach-Valued Functions
- On vector-valued Fourier multiplier theorems
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On operator-valued Fourier multiplier theorems