In his beautiful book Singular Integrals and Differentiability Properties of Functions, E.M. Stein introduces Marcinkiewicz integral as an alternative to the differentiation theorem to illustrate (literally quoting from [1, Ch.I, Sect.2.3]) “the principle that a general point of a measurable set is almost completely surrounded by other points of the set”. We want to explore the theme summarised by this Stein’s sentence, using the notion of superdensity point.
Marcinkiewicz integral and superdensity / Delladio, Silvano. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - 2025:(In corso di stampa). [10.1007/s10231-025-01576-x]
Marcinkiewicz integral and superdensity
Delladio, Silvano
In corso di stampa
Abstract
In his beautiful book Singular Integrals and Differentiability Properties of Functions, E.M. Stein introduces Marcinkiewicz integral as an alternative to the differentiation theorem to illustrate (literally quoting from [1, Ch.I, Sect.2.3]) “the principle that a general point of a measurable set is almost completely surrounded by other points of the set”. We want to explore the theme summarised by this Stein’s sentence, using the notion of superdensity point.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
