BMO-quasiconformal mappings

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On the Beltrami equations with two characteristics (2009, background): “Versions of the following lemma have been first established for BMO functions in [16] and then for FMO functions in [17,47].”
Strong Ring Solutions of Beltrami Equations (2005, methodology): “There exist examples of complex coefficients # such that K~, E L p with arbitrarily large p > 1 for which the Beltrami equation (1.1) has no ACL homeomorphic solutions; see [ RSY2 ].”
Regularity of the Inverse of a Planar Sobolev Homeomorphism (2006, methodology): “to a Beltrami equation has been established under integrability conditions on the Beltrami coecient [4], [3], [ 29 ], [11], [15].”
On strong solutions of the Beltrami equations (2010, methodology): “12 in [30] we obtain that f is discrete and by Proposition 3.”
Integral conditions in the theory of the Beltrami equations (2010, methodology): “By the well-known John–Nirenberg lemma for the function of the class bounded mean oscillation (BMO) the David conditions are equivalent to the corresponding integral conditions of the exponential type, see, for example, [24].”
Local homeomorphisms having local ACL n inverses (2008, background): “It must be mentioned that the modular inequalities (1) and (2), although they are systematically used, appear in 4–8 in a nonexplicit form.”