6533b831fe1ef96bd129924e

RESEARCH PRODUCT

A proof of Carleson's 𝜀2-conjecture

Benjamin JayeXavier TolsaMichele Villa

subject

Mathematics::Complex Variablessquare functiontangentJordan curveMathematics::Classical Analysis and ODEsrectifiabilitymittateoriaharmoninen analyysi

description

In this paper we provide a proof of the Carleson 𝜀2-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson 𝜀2-square function. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-202109295027