کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4591688 1335046 2009 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adjoints of composition operators on Hardy spaces of the half-plane
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Adjoints of composition operators on Hardy spaces of the half-plane
چکیده انگلیسی

Building on techniques used in the case of the disc, we use a variety of methods to develop formulae for the adjoints of composition operators on Hardy spaces of the upper half-plane. In doing so, we prove a slight extension of a known necessary condition for the boundedness of such operators, and use it to provide a complete classification of the bounded composition operators with rational symbol. We then consider some specific examples, comparing our formulae with each other, and with other easily deduced formulae for simple cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 256, Issue 12, 15 June 2009, Pages 4162-4186