Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Beals: A general calculus of pseudodifferential operators. Duke Math. Journal 42 (1975), 1–42.
L. Boutet de Monvel: Hypoelliptic operators with double characteristics and related pseudo-differential operators. Comm. Pure Appl. Math. 27 (1974), 585–639.
L. Boutet de Monvel, A. Grigis and B. Helffer: Parametrices to hypoelliptic operators with double characteristics. Talks at Grebbestad 1975.
G.B. Folland and J.J. Kohn: The Neumann problem for the Cauchy-Riemann complex. Princeton University Press 1972.
P.C. Greiner and E.M. Stein: A parametrix for the -Neumann problem. To appear in Proceedings of Rencontre sur plusieurs variables complexes et le problème de Neumann, Montreal 1974. Presses Universitaires de Montreal 1975.
P.C. Greiner and E.M. Stein: Regularity for the -Neumann problem in strongly pseudoconvex domains. Report to 1975 A.M.S. Summer Institute on Several Complex Variables.
L. Hörmander: L2 estimates and existence theorems for the -operator. Acta Math. 113 (1965), 89–152.
-: Pseudo-differential operators and non-elliptic boundary problems. Annals of Math. 83 (1966), 129–209.
L. Hörmander: Pseudo-differential operators and hypoelliptic equations, in Proc. Symp. Pure Math. vol. 10. Am. Math. Soc. 1966.
L. Hörmander: A class of hypoelliptic pseudo-differential operators. To appear.
N. Kerzman: Hölder and Lp-estimates for solutions of in strongly pseudoconvex domains. Comm. Pure Appl. Math. 24 (1971), 301–380.
J.J. Kohn and L. Nirenberg: On the algebra of pseudodifferential operators. Comm. Pure Appl. Math. 18 (1965), 269–305.
S. Krantz: Optimal Lipschitz and Lp estimates for the equation on strongly pseudo-convex domains. To appear.
N. Riviere: Class of smoothness, the Fourier method. Unpublished notes.
L.P. Rothschild and E.M. Stein: Hypoelliptic differential operators and nilpotent groups. To appear.
E.M. Stein: Singular integrals and differentiability properties of functions. Princeton University Press 1970.
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Øvrelid, N. (1976). Pseudodifferential operators and the -equation. In: Bekken, O.B., Øksendal, B.K., Stray, A. (eds) Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080034
Download citation
DOI: https://doi.org/10.1007/BFb0080034
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07682-7
Online ISBN: 978-3-540-38201-0
eBook Packages: Springer Book Archive