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Dive into the research topics where Jonas Azzam is active.

Publication


Featured researches published by Jonas Azzam.


Geometric and Functional Analysis | 2015

Characterization of n-rectifiability in terms of Jones’ square function: Part II

Jonas Azzam; Xavier Tolsa

We show that a Radon measure


Geometric and Functional Analysis | 2016

Rectifiability of harmonic measure

Jonas Azzam; Steve Hofmann; José María Martell; Svitlana Mayboroda; Mihalis Mourgoglou; Xavier Tolsa; Alexander Volberg


Transactions of the American Mathematical Society | 2014

Bounded mean oscillation and the uniqueness of active scalar equations

Jonas Azzam; Jacob Bedrossian

{\mu}


Potential Analysis | 2016

Sets of Absolute Continuity for Harmonic Measure in NTA Domains

Jonas Azzam


Analysis & PDE | 2016

A characterization of 1-rectifiable doubling measures with connected supports

Jonas Azzam; Mihalis Mourgoglou

μ in


arXiv: Metric Geometry | 2012

How to take shortcuts in Euclidean space: making a given set into a short quasi-convex set

Jonas Azzam; Raanan Schul


Mathematische Annalen | 2018

An Analyst's Traveling Salesman Theorem For Sets Of Dimension Larger Than One

Jonas Azzam; Raanan Schul

{\mathbb{R}^d}


Advances in Mathematics | 2015

Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps

Jonas Azzam; Matthew Badger; Tatiana Toro


Analysis & PDE | 2017

The one-phase problem for harmonic measure in two-sided NTA domains

Jonas Azzam; Mihalis Mourgoglou; Xavier Tolsa

Rd which is absolutely continuous with respect to the n-dimensional Hausdorff measure


Comptes Rendus Mathematique | 2016

Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure☆

Jonas Azzam; Steve Hofmann; José María Martell; Svitlana Mayboroda; Mihalis Mourgoglou; Xavier Tolsa; Alexander Volberg

Collaboration


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Mihalis Mourgoglou

Autonomous University of Barcelona

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Xavier Tolsa

Autonomous University of Barcelona

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Tatiana Toro

University of Washington

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José María Martell

Spanish National Research Council

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Guy David

Centre national de la recherche scientifique

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