Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces
TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.3, ss.1504-1508, 2018 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 3
- Basım Tarihi: 2018
- Doi Numarası: 10.3906/mat-1706-93
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1504-1508
- Anahtar Kelimeler: Toeplitz operator, Bergman space, Hardy space, zero Toeplitz product, Berezin symbol, BEREZIN, OPERATORS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this article, we are interested in the zero Toeplitz product problem: for two symbols f, g is an element of L-infinity (D, dA), if the product TfTg is identically zero on L-a(2)(D), then can we claim T-f or T-g is identically zero? We give a particular solution of this problem. A new proof of one particular case of the zero Toeplitz product problem in the Hardy space H-2 (D) is also given.