NEW PROOF OF AHLFORS LEMMA ABOUT GREEN STOKES FORMULA FOR DISTRIBUTIONS

  • Ana Savić School of Electrical and Computer Engineering, Academy of Technical and Art Applied Studies, Belgrade, Serbia
DOI: https://doi.org/10.5937/bnsr12-39725
Keywords: Convolutions, Distributions, Green Stokes formula, Test functions

Abstract


The paper presents a new proof of Ahlfors lemma about Green Stokes formula for distributions. The proof is performed directly using test functions instead of using convolutions.

 

References

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Arsenović, M. & Mateljević, M. 2021. On Ahlfors-Beurling Operator, Journal of Mathematical Sciences, 259, pp. 1-9. https://doi.org/10.1007/s10958-021-05596-9>

Carleson, L. & Jones, P. 1992, On coefficient problems for univalent functions and conformal dimension. Duke Mathematical Journal. 66. DOI: 10.1215/S0012-7094-92-06605-1

Duren, P. 2004. Harmonic Mapping in the Plane, Cambridge University Press, Cambridge

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Mateljević, M. 2013a. Kompleksna analiza 1 (Zavod za udžbenike, Beograd)

Mateljević, M. 2013b. Kompleksna analiza 2 (Zavod za udžbenike, Beograd)

Published
2022/12/30
Issue
Vol. 12 No. 2 (2022)
Section
Original Scientific Paper

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