NEW PROOF OF AHLFORS LEMMA ABOUT GREEN STOKES FORMULA FOR DISTRIBUTIONS
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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.

 

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DOI: 10.5937/bnsr12-39725

References

Ahlfors, L. 2006. Lectures on Quasiconformal Mappings, University Lecture Series, vol.38, 2nd edn. American Mathematical Society, Providence

Arsenović, M., Mateljević, M. & Ahlfors, O. 2012. Teorija mere, funkcionalna analiza, teorija operatora (Zavod za udžbenike, Beograd)

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

Mateljević, M. 2012. Topic in Conformal, Quasiconformal and Harmonic Maps (Zavod za udžbenike, Beograd)

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

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

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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