Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in

Authors:
Der-Chen Chang, Galia Dafni and Elias M. Stein

Journal:
Trans. Amer. Math. Soc. **351** (1999), 1605-1661

MSC (1991):
Primary 35J25, 42B25; Secondary 46E15, 42B30

MathSciNet review:
1458319

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Abstract: We study two different local spaces, , on a smooth domain in , by means of maximal functions and atomic decomposition. We prove the regularity in these spaces, as well as in the corresponding dual BMO spaces, of the Dirichlet and Neumann problems for the Laplacian.

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Additional Information

**Der-Chen Chang**

Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742

Address at time of publication:
Department of Mathematics, Georgetown University, Washingon, DC 20057

Email:
drc@math.umd.edu

**Galia Dafni**

Affiliation:
Department of Mathematics & Statistics, Concordia University, Montreal, Quebec H3G-1M8, Canada

Email:
gdafni@discrete.concordia.ca

**Elias M. Stein**

Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544

Email:
stein@math.princeton.edu

DOI:
https://doi.org/10.1090/S0002-9947-99-02111-X

Received by editor(s):
September 5, 1996

Received by editor(s) in revised form:
March 20, 1997

Article copyright:
© Copyright 1999
American Mathematical Society