Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents

DOI10.1186/s13660-018-1759-yzbMath1498.47096OpenAlexW2878767311WikidataQ91103269 ScholiaQ91103269MaRDI QIDQ824661

Jinlai Zhu, Jing-shi Xu

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1759-y

zbMATH Keywords

Besov spacebilinear pseudodifferential operatorvariable exponentTriebel-Lizorkin space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential operators (47G30) Besov spaces and (Q_p)-spaces (30H25)

Related Items (1)

The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of variable exponent Hardy spaces via Riesz transforms
• Maximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimates
• Variable weak Hardy spaces and their applications
• Variable exponent Herz spaces
• Herz type Besov and Triebel-Lizorkin spaces with variable exponent
• Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators
• Hardy spaces with variable exponents and generalized Campanato spaces
• Maximal, potential and singular type operators on Herz spaces with variable exponents
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• Intrinsic square function characterizations of Hardy spaces with variable exponents
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents
• Multilinear singular integrals and commutators in variable exponent Lebesgue spaces
• Lebesgue and Sobolev spaces with variable exponents
• Atomic decomposition of Besov spaces with variable smoothness and integrability
• Spaces of variable smoothness and integrability: characterizations by local means and ball means of differences
• Hardy spaces associated to critical Herz spaces with variable exponent
• Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents
• On the bilinear Hörmander classes in the scales of Triebel-Lizorkin and Besov spaces
• Besov spaces with variable smoothness and integrability
• Bilinear pseudodifferential operators with symbols in Besov spaces
• Variable exponent functionals in image restoration
• Overview of differential equations with non-standard growth
• Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
• 2-microlocal Besov and Triebel-Lizorkin spaces of variable integrability
• Function spaces of variable smoothness and integrability
• Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order
• On spaces of Triebel-Lizorkin type
• Electrorheological fluids: modeling and mathematical theory
• Critical variable exponent functionals in image restoration
• The Herz-type Hardy spaces with variable exponent and their applications
• New Herz type Besov and Triebel-Lizorkin spaces with variable exponents
• Multilinear pseudodifferential operators beyond Calderón-Zygmund theory
• Herz-Morrey type Besov and Triebel-Lizorkin spaces with variable exponents
• Triebel-Lizorkin type spaces with variable exponents
• Herz-type Besov spaces of variable smoothness and integrability
• Variable exponent Herz type Besov and Triebel-Lizorkin spaces
• Besov-type spaces with variable smoothness and integrability
• Molecular characterizations and dualities of variable exponent Hardy spaces associated with operators
• Notes on the Herz-type Hardy spaces of variable smoothness and integrability
• Bayesian approach to inverse problems for functions with a variable-index Besov prior
• The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application
• Differential Operators on Spaces of Variable Integrability
• Bessel potential spaces with variable exponent
• Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• On the Hormander classes of bilinear pseudodifferential operators II
• Image Decompositions Using Spaces of Variable Smoothness and Integrability
• Variable Hardy Spaces Associated with Operators Satisfying Davies–Gaffney Estimates
• Partial Differential Equations with Variable Exponents
• Variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator
• Fourier multiplier theorems for Besov and Triebel-Lizorkin spaces with variable exponents
• Calderon-Vaillancourt--type theorem for bilinear operators
• Variable Exponent, Linear Growth Functionals in Image Restoration
• On the Hörmander classes of bilinear pseudodifferential operators

This page was built for publication: Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents