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On Beltrami equations with inverse conditions and hydrodynamic normalization
We consider problems concerning the existence of solutions of the Beltrami equations and their convergence in the complex plane. We are mainly...
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Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms
Quasisymmetric maps are well-studied homeomorphisms between metric spaces preserving annuli, and the Ahlfors regular conformal dimension
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On the Inverse Poletsky Inequality in Metric Spaces and Prime Ends
We study map**s defined in the domain of a metric space that distort the modulus of families of paths by the type of the inverse Poletsky...
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On map**s with the inverse Poletsky inequality in metric spaces
We study map**s that satisfy the so-called inverse Poletsky inequality. Provided that the given domain has a weakly flat boundary, and the mapped...
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On map**s with the inverse Poletsky inequality on Riemannian manifolds
We consider map**s of domains of Riemannian manifolds that admit branch points and satisfy a certain condition regarding the distortion of...
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Doubling measures on Cantor sets and their extensions
We study the doubling property of binomial measures on the middle interval Cantor set. We obtain a necessary and sufficient condition that enables a...
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p-Poincaré inequality versus ∞-Poincaré inequality: some counterexamples
We point out some of the differences between the consequences of p -Poincaré inequality and that of ∞-Poincaré inequality in the setting of doubling...