6533b838fe1ef96bd12a4e85

RESEARCH PRODUCT

Singular integrals, analytic capacity and rectifiability

Pertti Mattila

subject

Partial differential equationApplied MathematicsGeneral MathematicsMathematical analysisSingular integralGeometric measure theorysymbols.namesakeSingular solutionFourier analysisBounded functionsymbolsAnalytic capacityAnalysisMathematicsAnalytic function

description

In this survey we study some interplay between classical complex analysis (removable sets for bounded analytic functions), harmonic analysis (singular integrals), and geometric measure theory (rectifiability).

https://doi.org/10.1007/bf02656486