Triebel-Lizorkin spaces with general weights

DOI10.1007/s43036-022-00230-0OpenAlexW3168119482MaRDI QIDQ2106152

Douadi Drihem

Publication date: 8 December 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00621

zbMATH Keywords

embeddingatommoleculeMuckenhoupt classTriebel-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)

Related Items

Complex interpolation of function spaces with general weights, Spline representations of Lizorkin-Triebel spaces with general weights

Cites Work

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• The isomorphic classification of Besov spaces over \(\mathbb R^d\) revisited
• Besov-type spaces of variable smoothness on rough domains
• On generalized Besov and Triebel-Lizorkin spaces of regular distributions
• Description of traces of functions in the Sobolev space with a Muckenhoupt weight
• On various approaches to Besov-type spaces of variable smoothness
• Weighted Besov and Triebel spaces: Interpolation by the real method
• Weights, extrapolation and the theory of Rubio de Francia.
• A discrete transform and decompositions of distribution spaces
• Orlicz spaces and modular spaces
• The spaces \(L^ p\), with mixed norm
• A new class of function spaces connecting Triebel--Lizorkin spaces and \(Q\) spaces
• New Besov-type spaces and Triebel-Lizorkin-type spaces including \(Q\) spaces
• Calderón-Zygmund theory for operator-valued kernels
• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Sharp two-weight, weak-type norm inequalities for singular integral operators
• Wavelet bases in generalized Besov spaces
• Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces
• Continuity envelopes and sharp embeddings in spaces of generalized smoothness
• Anisotropic Triebel-Lizorkin spaces with doubling measures
• Characterisations of function spaces of generalised smoothness
• Some characterizations of variable Besov-type spaces
• Spline representations of Lizorkin-Triebel spaces with general weights
• A new framework for generalized Besov-type and Triebel–Lizorkin-type spaces
• Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces
• A Note on the Interpolation of Sublinear Operations
• Some new function spaces of variable smoothness
• Spaces of Functions of Generalized Smoothness
• Weighted inequalities for vector-valued maximal functions and singular integrals
• Boundedness results for operators with singular kernels on distribution spaces
• Some observations on Besov and Lizorkin-Triebel spaces.
• Spectral theory for isotropic fractal drums
• Function Spaces with Exponential Weights II
• Characterization of Weighted Besov Spaces
• Function Spaces with Exponential Weights I
• Decomposition systems for function spaces
• Function spaces of generalised smoothness
• Atomic Decomposition of Weighted Besov Spaces
• Sharp weighted inequalities for the vector-valued maximal function
• Classical Fourier Analysis
• Some Maximal Inequalities
• Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces
• Weighted Norm Inequalities for the Hardy Maximal Function
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces
• An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation
• Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
• Besov Spaces with GeneralWeights