Henkin–Ramirez kernels-Reference-Cited by-同舟云学术

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Henkin–Ramirez kernels

Published:2023-12 Issue:S1 Volume:29 Page:
ISSN:1405-213X
Container-title:Boletín de la Sociedad Matemática Mexicana
language:en
Short-container-title:Bol. Soc. Mat. Mex.

Author:

Fornæss John Erik

Abstract

AbstractI will survey Henkin–Ramirez reproducing kernels in the weakly pseudoconvex case. The literature is enormous and I will not try to be complete.

Funder

NTNU Norwegian University of Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40590-023-00555-7.pdf

Reference19 articles.

1. Bedford, E., Fornæss, J.E.: A construction of peak functions on weakly pseudoconvex domains. Ann. Math. 107, 555–568 (1978)

2. Behnke, H., Peschl, E.: Zur Theorie der Funktionen mehrerer komplexer Veränderlichen. Konvexität in Bezug auf analytischen Ebenen im Kleinen und Großen. Math. Ann. 111, 158–177 (1935)

3. Bruna, J., Nagel, A., Wainger, S.: Convex hypersurfaces and Fourier transform. Ann. Math. 127, 333–365 (1988)

4. Cumenge, A.: Estimées Lipschitz optimales dans les convexes de type fini. C. R. Acad. Sci. Paris 325, 1077–1080 (1997)

5. Cumenge, A.: Sharp estimates for $${\overline{\partial }}$$ on convex domains of finite type. Arx. Mat. 39, 1–25 (2001)

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