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

  • 209 Citations
  • 9 h-Index
  • 15 Article
  • 2 Chapter
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Article
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
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
2004
34 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
2005
30 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

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
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
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
12 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
2012
14 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
2013
23 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
2014
9 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
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
2017
5 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
3 Citations (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