CONTINUOUS CHARACTERIZATION OF THE TRIEBEL-LIZORKIN SPACES AND FOURIER MULTIPLIERS

DOI10.4134/BKMS.2010.47.4.839zbMath1200.42006OpenAlexW2028219871MaRDI QIDQ3587279

Yong-Kum Cho

Publication date: 7 September 2010

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2010.47.4.839

zbMATH Keywords

Fourier multipliersTriebel-Lizorkin spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

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Bochner–Riesz Means andK-Functional on Triebel–Lizorkin Spaces ⋮ Weighted estimates for $L_1$-vector fields ⋮ Equivalent quasi-norms of Besov-Triebel-Lizorkin-type spaces via derivatives ⋮ Musielak-Orlicz Besov-type and Triebel-Lizorkin-type spaces ⋮ Real-variable characterizations and their applications of matrix-weighted Triebel-Lizorkin spaces ⋮ Fourier multipliers on Triebel-Lizorkin-type spaces ⋮ Certain averaging operators on Triebel-Lizorkin spaces ⋮ Triebel-Lizorkin space estimates for evolution equations with structure dissipation ⋮ Function spaces of Besov-type and Triebel-Lizorkin-type -- a survey ⋮ Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators ⋮ Approximation properties of combination of multivariate averages on Triebel-Lizorkin spaces

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