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Article
Branched folded maps and alternating Beltrami equations
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Article
Boundary behavior ofμ-homeomorphisms
We provide conditions on the complex dilatation of a homeomorphismf of the upper half plane ℍ into ℂ, which guarantee thatf(ℍ) is a proper subset of ℂ and, in case wheref(ℍ) is a Jordan domain, thatf has a homeom...
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Article
Finite mean oscillation and the Beltrami equation
We prove the existence and uniqueness of homeomorphic ACL solutions to the Beltrami equation in the case when the dilatation coefficient of the equation has a majorant of finite mean oscillation.
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Book
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Chapter
Introduction and Notation
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Chapter
Q-homeomorphisms with Q in BMO
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Chapter
Ring Q-Homeomorphisms
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Chapter
Lower Q-Homeomorphisms
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Chapter
Map**s with Finite Area Distortion
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Chapter
Homeomorphisms with Finite Mean Dilatations
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Chapter
Q-Homeomorphisms with Q∈ Lloc1
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Chapter
On Ring Solutions of the Beltrami Equation
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Chapter
On Map** Theory in Metric Spaces
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Chapter
Moduli and Domains
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Chapter
Moduli and Capacity
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Chapter
More General Q-Homeomorphisms
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Chapter
Map**s with Finite Length Distortion (FLD)
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Article
On integral conditions in the map** theory
Interconnections between various integral conditions that play an important role in the theory of space map**s and in the theory of degenerate Beltrami equations in the plane are established.
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Article
On recent advances in the Beltrami equations
We give an exposition of the recent progress in the theory of the Beltrami equations with the degeneration.
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Book