Checkerboards, Lipschitz functions and uniform rectifiability.

Peter W. Jones; Nets Hawk Katz; Ana Vargas

Displaying similar documents to “Checkerboards, Lipschitz functions and uniform rectifiability.”

Concentration and flatness properties of the singular set of bisected balls

Francesco Maddalena, Sergio Solimini (2001)

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Level sets of uniform quotient mappings from R to R do not need to be locally connected.

Beata Randrianantoanina (2004)

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We give an example of a uniform quotient map from R to R which has non-locally connected level sets.

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Der-Chen Chang, Steven Krantz (1991)

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The solution of the Kato problem in two dimensions.

Steve Hofmann, Alan McIntosh (2002)

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We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ -div (A(x)∇), where A(x) is a 2 x 2 accretive matrix of bounded measurable complex coefficients, we prove that L^1/2: L₁ ²(R²) → L²(R²). [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial...

Nonatomic Lipschitz spaces

Nik Weaver (1995)

Studia Mathematica

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We abstractly characterize Lipschitz spaces in terms of having a lattice-complete unit ball and a separating family of pure normal states. We then formulate a notion of "measurable metric space" and characterize the corresponding Lipschitz spaces in terms of having a lattice complete unit ball and a separating family of normal states.

Distribution function inequalities for the density of the area integral

R. Banuelos, C. N. Moore (1991)

Annales de l'institut Fourier

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We prove good- $λ$ inequalities for the area integral, the nontangential maximal function, and the maximal density of the area integral. This answers a question raised by R. F. Gundy. We also prove a Kesten type law of the iterated logarithm for harmonic functions. Our Theorems 1 and 2 are for Lipschitz domains. However, all our results are new even in the case of $R_{+}^{2}$ .

Functionals depending on curvatures with constraints

Maria Giovanna Mora, Massimiliano Morini (2000)

Rendiconti del Seminario Matematico della Università di Padova

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Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities

F. A. Lops, F Maddalena, S Solimini (2001)

Annales de l'I.H.P. Analyse non linéaire

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