کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623605 1339519 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Continuity and Schatten–von Neumann p-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Continuity and Schatten–von Neumann p-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces
چکیده انگلیسی

In this paper we investigate Hankel operators with anti-holomorphic symbols ∈L2(C,m|z|), where are general Fock spaces. We will show that is not continuous if the corresponding symbol is not a polynomial . For polynomial symbols we will give necessary and sufficient conditions for continuity and compactness in terms of N and m. For monomials we will give a complete characterization of the Schatten–von Neumann p-class membership for p>0. Namely in case 2k2m/(m−2k); and in case 2k⩾m they are not in the Schatten–von Neumann p-class.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 320, Issue 1, 1 August 2006, Pages 403-414