Hölder estimates for pseudo-differential operators on \(\mathbb {T}^{1}\)

DOI10.1007/S11868-014-0099-ZzbMath1328.58023OpenAlexW61901794MaRDI QIDQ2345370

Duván Cardona

Publication date: 22 May 2015

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-014-0099-z

zbMATH Keywords

Fourier transformHölder spacesmicrolocal analysispseudo-differential operators

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (7)

Unnamed Item ⋮ Characterizations of nuclear pseudo-differential operators on \(\mathbb {S}^1\) with applications to adjoints and products ⋮ Pseudo-differential analysis of bounded linear operators from \(L^{p_1}(\mathbb{S}^1)\) into \(L^{p_2}(\mathbb{S}^1)\) ⋮ Hölder-Besov boundedness for periodic pseudo-differential operators ⋮ Pseudo-differential operators in Hölder spaces revisited: Weyl-Hörmander calculus and Ruzhansky-Turunen classes ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ Characterizations of pseudo-differential operators on \(\mathbb{S}^1\) based on separation-preserving operators

Cites Work

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• Quantization of pseudo-differential operators on the torus
• \(L^p\) and Hölder estimates for pseudodifferential operators: sufficient conditions
• Discrete Fourier Analysis
• Pseudo-Differential Operators and Symmetries
• Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
• L p -bounds for Pseudo-differential Operators on the Torus

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