Generalized Besov spaces and their applications

DOI10.3836/tjm/1358951320zbMath1331.35296OpenAlexW2042774583MaRDI QIDQ1943236

Takeshi Kawazoe, Hatem Mejjaoli

Publication date: 19 March 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1358951320

zbMATH Keywords

Littlewood-Paley decompositiondifferential-difference equationsDunkl operatorsparaproduct operatorinhomogeneous Dunkl-Besov spaceinhomogeneous Dunkl-Triebel-Lizorkin space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Difference operators (39A70) Connections of harmonic functions with differential equations in higher dimensions (31B35) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Generalized Dunkl-Lipschitz spaces, Sharp approximation theorems and Fourier inequalities in the Dunkl setting, Boundedness and compactness of Dunkl two-wavelet multipliers, Generalized Lorentz spaces and applications, Heat equations associated with Weinstein operator and applications, New spectral theorems in Dunkl analysis, Existence of extremals of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for Dunkl Riesz potential, Lipschitz and Triebel-Lizorkin spaces associated with the Dunkl operators on \(\mathbb{R}^d\), Dunkl heat semigroup and applications, A new version of the real Paley-Wiener theorems, Generalized heat equation and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Besov-type spaces on R\(d\) and integrability for the Dunkl transform
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Convolution operator and maximal function for the Dunkl transform
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
• Differential-Difference Operators Associated to Reflection Groups
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Integral Kernels with Reflection Group Invariance
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel