کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592295 | 1335089 | 2009 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The spectrum of the Leray transform for convex Reinhardt domains in C2
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The Leray transform and related boundary operators are studied for a class of convex Reinhardt domains in C2. Our class is self-dual; it contains some domains with less than C2-smooth boundary and also some domains with smooth boundary and degenerate Levi form. L2-regularity is proved, and essential spectra are computed with respect to a family of boundary measures which includes surface measure. A duality principle is established providing explicit unitary equivalence between operators on domains in our class and operators on the corresponding polar domains. Many of these results are new even for the classical case of smoothly bounded strongly convex Reinhardt domains.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 257, Issue 9, 1 November 2009, Pages 2780-2819
Journal: Journal of Functional Analysis - Volume 257, Issue 9, 1 November 2009, Pages 2780-2819