• 190 Citations
  • 9 h-Index
19992023
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Research Output 1999 2017

  • 190 Citations
  • 9 h-Index
  • 15 Article
  • 1 Chapter
2017
2 Citations (Scopus)

The cauchy-szego projection for domains in cn with minimal smoothness

Lanzani, L. & Stein, E. M., 2017, In : Duke Mathematical Journal. 166, 1, p. 125-176 52 p.

Research output: Contribution to journalArticle

Cauchy
Smoothness
Projection
Pseudoconvex
Regularity Conditions
1 Citation (Scopus)

The role of an integration identity in the analysis of the Cauchy-Leray transform

Lanzani, L. & Stein, E. M., Aug 5 2017, (Accepted/In press) In : Science China Mathematics. p. 1-14 14 p.

Research output: Contribution to journalArticle

Boundary Regularity
Definability
Cauchy
Counterexample
Convexity
2015

Taylor series of conformal mappings onto symmetric quadrilaterals

Lanzani, L., Myers, J. L. & Raich, A. S., Aug 3 2015, In : Complex Variables and Elliptic Equations. 60, 8, p. 1133-1141 9 p.

Research output: Contribution to journalArticle

Rhombus
Conformal mapping
Surjection
Taylor Series Expansion
Taylor series
2014
2 Citations (Scopus)

On div-curl for higher order

Lanzani, L. & Raich, A. S., Jan 5 2014, Advances in Analysis: The Legacy of Elias M. Stein. Princeton University Press, p. 245-272 28 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Curl
Higher Order
7 Citations (Scopus)

The Cauchy integral in Cn for domains with minimal smoothness

Lanzani, L. & Stein, E. M., Oct 20 2014, In : Advances in Mathematics. 264, p. 776-830 55 p.

Research output: Contribution to journalArticle

Cauchy Integral
Regularity Conditions
Cauchy
Convexity
Bounded Domain
2013
19 Citations (Scopus)

Cauchy-type integrals in several complex variables

Lanzani, L. & Stein, E. M., Jan 1 2013, In : Bulletin of Mathematical Sciences. 3, 2, p. 241-285 45 p.

Research output: Contribution to journalArticle

Cauchy-type Integral
Several Complex Variables
Lp Estimates
Bergman Projection
Boundary Regularity
2012
12 Citations (Scopus)

The Bergman projection in Lp for domains with minimal smoothness

Lanzani, L. & Stein, E. M., 2012, In : Illinois Journal of Mathematics. 56, 1, p. 127-154 28 p.

Research output: Contribution to journalArticle

Bergman Projection
Bergman Kernel
Pseudoconvex Domain
Absolute value
Smoothness
2009
3 Citations (Scopus)

Bergman versus Szego via conformal mapping

Koenig, K. D. & Lanzani, L., 2009, In : Indiana University Mathematics Journal. 58, 2, p. 969-997 29 p.

Research output: Contribution to journalArticle

Conformal Mapping
Lipschitz
Projection
Norm
Derivative
10 Citations (Scopus)

The spectrum of the Leray transform for convex Reinhardt domains in C2

Barrett, D. E. & Lanzani, L., Nov 1 2009, In : Journal of Functional Analysis. 257, 9, p. 2780-2819 40 p.

Research output: Contribution to journalArticle

Reinhardt Domain
Convex Domain
Transform
Operator
Levi Form
2008
13 Citations (Scopus)

The mixed problem in L p for some two-dimensional Lipschitz domains

Lanzani, L., Capogna, L. & Brown, R. M., Sep 2008, In : Mathematische Annalen. 342, 1, p. 91-124 34 p.

Research output: Contribution to journalArticle

Lipschitz Domains
Mixed Problem
Lipschitz
Unique Solution
Dirichlet
2006
10 Citations (Scopus)

The Poisson's problem for the Laplacian with Robin boundary condition in non-smooth domains

Lanzani, L. & Méndez, O., 2006, In : Revista Matematica Iberoamericana. 22, 1, p. 181-204 24 p.

Research output: Contribution to journalArticle

Nonsmooth Domains
Poisson Problem
Robin Boundary Conditions
Lipschitz Domains
Layer Potentials
2005
29 Citations (Scopus)

A note on div curl inequalities

Lanzani, L. & Stein, E. M., Jan 2005, In : Mathematical Research Letters. 12, 1, p. 57-61 5 p.

Research output: Contribution to journalArticle

2004
32 Citations (Scopus)

On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains

Lanzani, L. & Shen, Z., 2004, In : Communications in Partial Differential Equations. 29, 1-2, p. 91-109 19 p.

Research output: Contribution to journalArticle

Robin Boundary Conditions
Lipschitz Domains
Laplace equation
Laplace's equation
Boundary conditions
32 Citations (Scopus)

Szegö and Bergman projections on non-smooth planar domains

Lanzani, L. & Stein, E. M., 2004, In : Journal of Geometric Analysis. 14, 1, p. 63-86 24 p.

Research output: Contribution to journalArticle

Bergman Projection
Regularity
Riesz Transform
Graph in graph theory
Chord or secant line
2002
14 Citations (Scopus)

Szegö projections for hardy spaces of monogenic functions and applications

Bernstein, S. & Lanzani, L., 2002, In : International Journal of Mathematics and Mathematical Sciences. 29, 10, p. 613-624 12 p.

Research output: Contribution to journalArticle

Monogenic Functions
Hardy Space
Projection
Orthogonal Decomposition
Clifford Algebra
1999
4 Citations (Scopus)

Szego projection versus potential theory for non-smooth planar domains

Lanzani, L., Jun 1999, In : Indiana University Mathematics Journal. 48, 2, p. 537-555 19 p.

Research output: Contribution to journalArticle

Potential Theory
Lipschitz
Stein Equation
Projection
Argand diagram