Loredana Lanzani

activity

20052025

most citedCauchy-type integrals in several complex variables

31 citations · 99 across the 22 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.AP2013★ 2 cited

Higher order analogues of exterior derivative

Loredana Lanzani

We give new examples of linear differential operators of order $k = 2 m + 1$ (any given odd integer) that are invariant under the isometries of $R^{n}$ and satisfy so-called $L^{1}$ …

math.CV2013★ 31 cited

Cauchy-type integrals in several complex variables

Loredana Lanzani, Elias M. Stein

We present the theory of Cauchy-Fantappié integral operators, with emphasis on the situation when the domain of integration, $D$ , has minimal boundary regularity. Among these opera…

math.CV2013★ 1 cited

The Cauchy Integral in $C^{n}$ for domains with minimal smoothness

Loredana Lanzani, Elias M. Stein

We prove $L^{p} (b D)$ -regularity of the Cauchy-Leray integral for bounded domains $D \subset C^{n}$ whose boundary satisfies the minimal regularity condition o…

Higher order analogues of exterior derivative

Cauchy-type integrals in several complex variables

The Cauchy Integral in Cn for domains with minimal smoothness

The Cauchy Integral in $C^{n}$ for domains with minimal smoothness