For a positive integer k 2, the kth-order weighted slant Hankel operator D k; on L2( ) with 2 L1( ) is de ned as D k; = J WkM , where J is the re ection operator given by J en = en for each n 2 Z and Wk is given by Wken(z) = m km em(z) if n = km;m 2 Z and Wken(z) = 0 if n 6= km. The paper discusses the product and commutativity of kth-order weighted slant Hankel operators of di erent order. Compactness and essential commutativity of these operators are also addressed and it is obtained that the commutativity of these operators coincides with the essential commutativity.
Hankel operator weighted Hankel Operator weighted slant Hankel operator
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2016 |
Gönderilme Tarihi | 10 Temmuz 2014 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 4 Sayı: 1 |