Realizations of homogeneous Besov and Triebel–Lizorkin spaces and an application to pointwise multipliers

DOI10.1142/S0219530514500250zbMath1348.46039OpenAlexW2118214069MaRDI QIDQ5248155

Madani Moussai

Publication date: 27 April 2015

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530514500250

zbMATH Keywords

realizationshomogeneous Besov spacespointwise multiplicationhomogeneous Triebel-Lizorkin spacesdilation commuting realizationsNikol'skij representationstranslation commuting realizations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences ⋮ Composition in critical Besov spaces ⋮ Function algebras of Besov and Triebel-Lizorkin-type ⋮ Dahlberg degeneracy for homogeneous Besov and Triebel–Lizorkin spaces ⋮ Characterization by approximation of homogeneous Besov and Triebel-Lizorkin type spaces ⋮ Realization of homogeneous Triebel - Lizorkin spaces with $p=\infty $ and characterizations via differences ⋮ Boundedness of pseudodifferential operators on realized homogeneous Besov spaces ⋮ Pointwise multiplication in the realized homogeneous Besov and Triebel-Lizorkin spaces ⋮ Some convolution inequalities in realized homogeneous Besov and Triebel-Lizorkin spaces ⋮ Szasz's theorem and its generalizations ⋮ Some Hardy-type estimates in realized homogeneous Besov and Triebel-Lizorkin spaces

Cites Work

• Composition operators on Besov algebras
• A discrete transform and decompositions of distribution spaces
• Composition operators on Lizorkin-Triebel spaces
• Morrey and Campanato meet Besov, Lizorkin and Triebel
• Theory of function spaces
• Localisation et multiplicateurs des espaces de Sobolev homogènes. (Localization and multipliers of homogeneous Sobolev spaces)
• Réalisations des espaces de Besov homogènes. (Realization of homogeneous Besov spaces)
• Nonregular pseudo-differential operators
• Realizations of homogeneous Sobolev spaces
• Some observations on Besov and Lizorkin-Triebel spaces.
• Realizations of homogeneous Besov and Lizorkin‐Triebel spaces
• On the trace problem for Lizorkin–Triebel spaces with mixed norms
• Some Maximal Inequalities