Search results for "singular integral operators"

showing 2 items of 2 documents

A characterization of riesz operators

1987

Pure mathematicsRiesz potentialRiesz representation theoremGeneral MathematicsSingular integral operators of convolution typeCharacterization (mathematics)MathematicsMathematische Zeitschrift
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Two examples related to conical energies

2022

In a recent article we introduced and studied conical energies. We used them to prove three results: a characterization of rectifiable measures, a characterization of sets with big pieces of Lipschitz graphs, and a sufficient condition for boundedness of nice singular integral operators. In this note we give two examples related to sharpness of these results. One of them is due to Joyce and M\"{o}rters, the other is new and could be of independent interest as an example of a relatively ugly set containing big pieces of Lipschitz graphs.

matematiikkasingular integral operatorsMetric Geometry (math.MG)Articlesbig pieces of Lipschitz graphsquantitative rectifiabilityconical densityMathematics - Metric GeometryMathematics - Classical Analysis and ODEs28A75 (Primary) 28A78 42B20 (Secondary)Classical Analysis and ODEs (math.CA)FOS: MathematicsCone
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