Mappings ofBMO-distortion and beltrami-type operators

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Mappings of finite distortion: Sharp Orlicz-conditions (2003, methodology): “Introduction This paper is part of our program to establish the fundamentals of the theory of mappings of finite distortion [5], [1], [6], [9], [10] which form a natural generalization of the class of quasiregular mappings, also called mappings of bounded distortion.”
Mappings of Finite Distortion:¶Discreteness and Openness (2001, methodology): “This paper is a crucial part of our program to establish the fundamentals of the theory of mappings of finite distortion [ 11 , 1, 12, 17] which form a natural generalization of the class of quasiregular mappings, also called mappings of bounded distortion.”
Mappings of finite distortion: Monotonicity and continuity (2001, background): “The first regularity results below the natural setting were recently established by T. Iwaniec, P. Koskela and G. Martin [ 15 ].”
BMO-quasiconformal mappings (2001, background): “For related but more general classes of mappings in the plane and in higher dimensions see the recent important papers [AIKM], [ IKM ]”
Mappings of finite distortion: The zero set of the Jacobian (2003, background): “This paper is part of our program to establish the fundamentals of the theory of mappings of finite distortion [ 8 ], [1], [10], [15], [16], [9] which form a natural generalization of the class of mappings of bounded distortion, also called quasiregular mappings.”