The Michigan Mathematical Journal

On the Beurling-Ahlfors tramsform's weak-type constant

James Gill
Source: Michigan Math. J. Volume 59, Issue 2 (2010), 353-363.
First Page: Show Hide
Primary Subjects: 30C62, 42B20
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.mmj/1281531461
Digital Object Identifier: doi:10.1307/mmj/1281531461
Mathematical Reviews number (MathSciNet): MR2677626

References

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Mathematical Reviews (MathSciNet): MR2472875
Zentralblatt MATH: 1182.30001
R. Bañuelos and P. Janakiraman, $L^p$-bounds for the Beurling--Ahlfors transform, Trans. Amer. Math. Soc. 360 (2008), 3603--3612.
Mathematical Reviews (MathSciNet): MR2386238
Zentralblatt MATH: 05294133
Digital Object Identifier: doi:10.1090/S0002-9947-08-04537-6
------, On the weak-type constant of the Beurling--Ahlfors transform, Michigan Math. J. 58 (2009), 459--477.
Mathematical Reviews (MathSciNet): MR2595549
Zentralblatt MATH: 1184.42004
Digital Object Identifier: doi:10.1307/mmj/1250169072
Project Euclid: euclid.mmj/1250169072
T. Iwaniec, Extremal inequalities in Sobolev spaces and quasiconformal mappings, Z. Anal. Anwendungen 1 (1982), 1--16.
Mathematical Reviews (MathSciNet): MR719167
------, The best constant in a BMO-inequality for the Beurling--Ahlfors transform, Michigan Math. J. 33 (1986), 387--394.
Mathematical Reviews (MathSciNet): MR856530
Digital Object Identifier: doi:10.1307/mmj/1029003418
Project Euclid: euclid.mmj/1029003418

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The Michigan Mathematical Journal

The Michigan Mathematical Journal