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The T(b) Theorem of Nazarov, Treil, and Volberg

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Vitushkin’s Conjecture for Removable Sets

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Abstract

The goal of this long chapter is to prove Theorem 6.14, the first of the two difficult results needed to complete the resolution of Vitushkin’s Conjecture. Our treatment here, and in various parts of the previous chapter, is from [NTV].

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Referneces

  1. F. Nazarov and S. Treil, The hunt for a Bellman function, Algebra i Analiz, Vol. 8 (1996), 32–162. (Section 7.6)

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  2. F. Nazarov, S. Treil, and A. Volberg, The Tb-theorem on non-homogeneous spaces that proves a conjecture of Vitushkin, Preprint No. 519, Center de Recerca Matemàtica, Barcelona, 2002. (Sections 6.5 and 7.1)

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  3. W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill Book Company (1987). (Preface and Many Sections)

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Correspondence to James J. Dudziak .

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Dudziak, J.J. (2010). The T(b) Theorem of Nazarov, Treil, and Volberg. In: Vitushkin’s Conjecture for Removable Sets. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6709-1_7

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