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
Calderon C.P., Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Acad. Sc. USA 74 (1977), 1324–1327.
Coifman R.R., McIntosh A., and Meyer Y., L'integral de Cauchy définit un opérateur borné sur L 2 pour les courbes lipschitziennes, Annals of Mathematics, 116 (1982), 361–387.
Coifman R.R. and Meyer Y., Au-delá des opérateurs pseudo-différentiels,, Astérisque 57, Societe Mathématique de France, 1978.
Coifman R.R. and Meyer Y., Fourier analysis of multilinear convolutions, Caldéron's theorem, and analysis on Lipschitz curves, Lecture Notes in Mathematics, 779, 104–122, Springer-Verlag, Berlin, 1980.
Cowling M., McIntosh A. and Yagi A., Banach space operators with an H ∞ functional calculus, in preparation.
Jones P.W. and Semmes S., An Elementary Proof of the L 2 boundedness of Cauchy Integrals on Lipschitz Curves, preprint.
Journe Jean-Lin, Calderón-Zygmund Operators, Pseudo-Differential Operators and the Cauchy Integral of Calderón, Lecture Notes in Mathematics, 994, Springer-Verlag, Berlin, 1984.
Kenig C.E., Weighted H p Spaces on Lipschitz Domains, American Journal of Mathematics, 102 (1980) No.1, pp.129–163.
McIntosh Alan, Operators which have an H ∞-functional calculus, Miniconference on Operator Theory and Partial Differential Equations, 1986, Proceedings of the Centre for Mathematical Analysis, ANU, Canberra, 14 (1986).
McIntosh A. and Qian T., Fourier Theory on Lipschitz Curves, Miniconference on Harmonic Analisis, 1987, Proceedings of the Centre for Mathematical Analysis, ANU, Canberra, 15 (1987), 157–166.
McIntosh A. and Qian T., L p Fourier multipliers on Lipschitz curves, Centre for Mathematical Analysis Research Report, R36-88, ANU, Canberra, 1988.
Stein, E. M., Singular Integrals and Differentiability Properties of Functions, P.U.P., Princeton, 1970.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
McIntosh, A., Tao, Q. (1991). Convolution singular integral operators on lipschitz curves. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087766
Download citation
DOI: https://doi.org/10.1007/BFb0087766
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54901-7
Online ISBN: 978-3-540-46474-7
eBook Packages: Springer Book Archive