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Balls and metrics defined by vector fields I: Basic properties

- A. Nagel, E. Stein, S. Wainger
- Mathematics
- 1 December 1985

878 46

Singular Integrals with Flag Kernels and Analysis on Quadratic CR Manifolds

Abstract We study a class of operators on nilpotent Lie groups G given by convolution with flag kernels. These are special kinds of product-type distributions whose singularities are supported on an… Expand

98 19

Singular and maximal Radon transforms: analysis and geometry

- M. Christ, A. Nagel, E. Stein, S. Wainger
- Mathematics
- 1 September 1999

Part 2. Geometric theory 8. Curvature: Introduction 8.1. Three notions of curvature 8.2. Theorems 8.3. Examples 9. Curvature: Some details 9.1. The exponential representation 9.2. Diffeomorphism… Expand

126 18- PDF

On certain maximal functions and approach regions

If f E L’(iR”) and u(x, y) is the Poisson integral of J; a classical theorem of Fatou [2] asserts that u has nontangential limits almost everywhere on R”. Littlewood [5], and later Zygmund [9],… Expand

98 14

Convex hypersurfaces and Fourier transforms

- J. Bruna, A. Nagel, S. Wainger
- Mathematics
- 1 March 1988

Hilbert transforms and maximal functions along curves and surfaces, spectral synthesis problems, and the study of certain operators related to hyperbolic partial differential and pseudodifferential… Expand

119 10

On the product theory of singular integrals

We establish Lp-boundedness for a class of product singular integral operators on spaces M = M1 x M2 x . . . x Mn. Each factor space Mi is a smooth manifold on which the basic geometry is given by a… Expand

79 9

Tangential boundary behavior of function in Dirichlet-type spaces

- A. Nagel, W. Rudin, J. H. Shapiro
- Mathematics
- 1 September 1982

104 7- PDF

Estimates for the Bergman and Szegö kernels in $\mathbf{C}^2$

- A. Nagel, Jean-Pierre Rosay, E. Stein, S. Wainger
- Mathematics
- 1989

The purpose of this paper (some of whose conclusions were announced in [NRSW]) is to study the Bergman and Szegd projection operators on pseudoconvex domains Q of finite type in C2. The results we… Expand

203 7

On Hilbert transforms along curves

- A. Nagel, N. Rivière, S. Wainger
- Mathematics
- 1974

Tf is the Hubert transform of ƒ along the curve y{t). E. M. Stein [2] raised the following general question: For what values of/? and what curves y(t) is Tf a bounded operator in Z7? If y(t) is a… Expand

90 6- PDF

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