Mappings of BMO–bounded distortion

By Kari ASTALA *, Tadeusz Iwaniec, Pekka Koskela, Gaven J. Martin. 2000

111 citations recorded by the source corpus.

Subfields: Applied Mathematics, Biomedical Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/91100b68edb6e8e2d39976e92ce6b01081e3623c

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Citations in the corpus

New real-variable characterizations of Musielak-Orlicz Hardy spaces (2012, background): “Since then, the theory of the Orlicz spaces themselves has been well developed and these spaces have been widely used in probability, statistics, potential theory, partial differential equations, as well as harmonic analysis and some other fields of analysis; see, for example, [3, 18, 27].”
New Hardy Spaces of Musielak–Orlicz Type and Boundedness of Sublinear Operators (2011, background): “On the other hand, as another generalization of L(R), the Orlicz spaces were introduced by Birnbaum-Orlicz in [3] and Orlicz in [49], since then, the theory of the Orlicz spaces themselves has been well developed and the spaces have been widely used in probability, statistics, potential theory, part”
On the degenerate Beltrami equation (2004, background): “It is noted in [3] that a necessary and sufficient condition for a measurable function K(z) ≥ 1 to be majorized in Ω ⊂ C by a function M ∈ BMO(C) is that”
New Orlicz–Hardy spaces associated with divergence form elliptic operators (2009, background): “ion 3.1 below. As a consequence, we prove that if F ∈ Tω(Rn+1 + ) ∩ T2 2 (R n+1 + ), then there exists an atomic decomposition of F which converges in both Tω(Rn+1 + ) and T p 2 (R n+1 + ) for all p∈ [1,2]; see Corollary 3.1 below. 6 Renjin Jiang and Dachun Yang In Section 4, we ﬁrst introduce the O”
Gradient estimates for the p (x)-Laplacean system (2005, background): “therefore, since the constant appearing in (26) is continuous with respect to b > 0 [22], [5], we shall assume that the constant c appearing in (26) only depends on g1 and g2, and is valid for the full range in (27).”
Mappings of Finite Distortion:¶Discreteness and Openness (2001, background): “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.”
Toward the theory of ring Q-homeomophisms (2008, unknown): “, [3], [8], [12], [15], [16], [19], [20], [21], [25], [28] and [29].”
Mappings of finite distortion: The zero set of the Jacobian (2003, background): “The recent works [3], [8], [1], [10], [15], [16], [11], [9] have established a rich theory of mappings of finite distortion under relaxed conditions on the distortion function K that do not require K to be bounded.”
Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents (2014, methodology): “Then, for all t ∈ [1, 2], a ∈ (0, N0], l ∈ Z and x ∈ R, it holds true that [(Φ2−ltf)a(x)] r ≤ C(r) ∞ ∑”