The form boundedness criterion for the Laplacian operator

DOI10.1016/J.JMAA.2005.11.037zbMath1168.35337OpenAlexW2033892349MaRDI QIDQ855440

Saddek Gala

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.037

zbMATH Keywords

Sobolev spacemultiplier spacescommutator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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ON THE REGULARITY CRITERIA FOR THE GENERALIZED VISCOUS MHD EQUATIONS ⋮ Application of the trace inequality to the Poisson equation

Cites Work

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• The Schrödinger operator on the energy space: Boundedness and compactness criteria
• Some weighted norm inequalities concerning the Schrödinger operators
• The trace inequality and eigenvalue estimates for Schrödinger operators
• Compensated compactness and Hardy spaces
• Multipliers between Sobolev spaces and fractional differentiation
• The uncertainty principle
• NON-SELF-ADJOINT DIFFERENTIAL OPERATORS
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases

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