A sharp lower bound of Burkholder’s functional for $$K$$ K -quasiconformal mappings and its applications

Author:

Chen Xingdi,Qian Tao

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. Ahlfors, L.V.: Lectures on quasiconformal mappings. In: Earle, C.J., Kra, I., Shishikura, M., Hubbard, J.H. (eds.) University Lecture Series, vol. 38, pp. 162. American Mathematical Society (2006)

2. Astala, K.: Area distortion of quasiconformal mappings. Acta Math. 173, 37–60 (1994)

3. Astala, K., Iwaniec, T., Martin, G.: Elliptic partial differential equations and quasiconformal mappings in the plane. Princeton University Press, Princeton (2009)

4. Astala, K., Iwaniec, T., Prause, I., Saksman, E.: Burkholder integrals, Morrey’s problem and quasiconformal mappings. J. Am. Math. Soc. 25, 507–531 (2012)

5. Baernstein A. II, Montgomery-Smith, S.J.: Some conjectures about integral means of $$\partial f$$ ∂ f and $$\bar{\partial }f$$ ∂ ¯ f , Complex analysis and differential equations, pp. 92–109 (1997)

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