Weak type (1,1) bounds for a class of periodic pseudo-differential operators

DOI10.1007/s11868-014-0101-9zbMath1321.58018OpenAlexW2086162322MaRDI QIDQ2345369

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/s11868-014-0101-9

zbMATH Keywords

\(L^p\)-boundednessFourier analysisquantizationweak continuitypseudo-differential operators\(n\)-torus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fourier series and coefficients in several variables (42B05)

Related Items (14)

Generation of semigroups for vector-valued pseudodifferential operators on the torus ⋮ \( \mathbb{Z} \)-operators related to a finite measure space ⋮ The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory ⋮ The \(L_p\)-boundedness of some classes of pseudo-differential operators on the \(m\)-dimensional torus ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ \((L_p-L_q)\)-boundedness of pseudodifferential operators on the \(n\)-dimensional torus ⋮ On the boundedness of periodic pseudo-differential operators ⋮ Hölder-Besov boundedness for periodic pseudo-differential operators ⋮ Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces ⋮ Pseudo-differential operators in Hölder spaces revisited: Weyl-Hörmander calculus and Ruzhansky-Turunen classes ⋮ S-operators related to a finite measure space ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ Difference equations and pseudo-differential operators on \(\mathbb{Z}^n\) ⋮ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)

Cites Work

• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Quantization of pseudo-differential operators on the torus
• Spectral properties of elliptic pseudodifferential operators on a closed curve
• On symbol analysis of periodic pseudodifferential operators
• A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$
• Discrete Fourier Analysis
• Local and Global Descriptions of Periodic Pseudodifferential Operators
• Pseudo-Differential Operators and Symmetries
• Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
• Harmonic Analysis in Phase Space. (AM-122)
• The L^p-boundedness of pseudo-differential operators with non-regular symbols
• L p -bounds for Pseudo-differential Operators on the Torus
• An Introduction to Pseudo-Differential Operators
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