$L^p$ and Hölder estimates for pseudodifferential operators : sufficient conditions

Richard Beals

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Displaying similar documents to “ $L^{p}$ and Hölder estimates for pseudodifferential operators : sufficient conditions”

Hölder estimates and hypoellipticity

André Unterberger, Julianne Unterberger (1976)

Annales de l'institut Fourier

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The aim of this paper is to show how, in order to prove regularity theorems, Hölder estimates, i.e. estimates involving products of powers of different semi-norms, can be used as well as standard estimates, and may in some instances be casier to prove.

Hypoelliptic differential operators

Lars Hörmander (1961)

Annales de l'institut Fourier

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On donne une condition suffisante pour l’hypoellipticité d’une équation différentielle à coefficients variables. La démonstration utilise une paramétrix construite par transformation de Fourier.

On oscillatory integral operators with folding canonical relations

Allan Greenleaf, Andreas Seeger (1999)

Studia Mathematica

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Sharp $L^{p}$ estimates are proven for oscillatory integrals with phase functions Φ(x,y), (x,y) ∈ X × Y, under the assumption that the canonical relation $C_{Φ}$ projects to T*X and T*Y with fold singularities.