Visible parts and slices of Ahlfors regular sets, Discrete Analysis 2024:17, 31 pp. Let E be a set in Rd. Given a direction θ∈Sd−1, the visible part of S from that direction is the set of points that can be viewed from that direction unobstructed by other points of S. We use...
We prove that an Ahlfors-regular set (with dimension one) $E \subset \Bbb R^{n}$ which verifies a $\beta_{q}$-version of P. W. Jones' geometric lemma is included in an Ahlfors-regular curve $\Gamma$.This theorem is due to G. David and S. Semmes, we give a more direct proof...
Interestingly enough even when µ is an m-dimensional Ahlfors-David (AD) regular measure in R n : C −1 r m ≤ µ(B(x, r)) ≤ Cr m ... V Chousionis - 《Publicacions Matemàtiques》 被引量: 39发表: 2009年 Uniform measures and uniform rectifiability In this paper, it is ...
Taking extensions first, Euclid himself showed in a theorem praised in antiquity that any symmetrical regular figures drawn on the sides of a right triangle satisfy the Pythagorean relationship: the figure drawn on the hypotenuse has an area equal to the sum of the areas of the figures drawn ...
We study the relation between the boundary of a simply connected domainΩbeing Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a conformal mapping from the unit disk△onto the domainΩ.As an application,we characterize the chord-arc curves with ...
Ahlfors regular potentialStripIn this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schrdinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different types of boundary conditions (Robin and Dirichlet ...
or use koalaman/shellcheck-alpine if you want a larger Alpine Linux based image to extend. It works exactly like a regular Alpine image, but has shellcheck preinstalled.Using the nix package manager:nix-env -iA nixpkgs.shellcheckAlternatively, you can download pre-compiled binaries for the ...
Let X be an Ahlfors d-regular space and m a d-regular measure on X. We prove that a measure µ on X is d-homogeneous if and only if µ is mutually absolutely continuous with respect to m and the derivative D mµ(x) is an A 1 weight. Also, we show by an example that ev...
If you wish to disable the plugin, select the "Tools | Vim Emulator" menu so it is unchecked. At this point your IDE will work with its regular keyboard shortcuts. Keyboard shortcut conflicts between the Vim emulation and the IDE can be resolved via "File | Settings | Vim Emulation", ...
Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular Project Euclid - mathematics and statistics online A Volberg,S Petermichl - 《Duke Mathematical Journal》 被引量: 356发表: 2002年 Bellman function, Littlewood-Paley estimates and asymptotics for the Ahlf...