کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667581 1345467 2007 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Riesz transforms for multi-dimensional Laguerre function expansions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Riesz transforms for multi-dimensional Laguerre function expansions
چکیده انگلیسی

Riesz transforms and conjugate Poisson integrals for multi-dimensional Laguerre function expansions of type α are defined and investigated. It is proved that for any multi-index α=(α1,…,αd) such that αi⩾−1/2, the appropriately defined Riesz–Laguerre transforms , j=1,2,…,d, are Calderón–Zygmund operators in the sense of the associated space of homogeneous type, hence their mapping properties follow from the general theory. Similar results are obtained for all higher order Riesz–Laguerre transforms. The conjugate Poisson integrals are shown to satisfy a system of equations of Cauchy–Riemann type and to recover the Riesz–Laguerre transforms on the boundary.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 215, Issue 2, 10 November 2007, Pages 642-678