Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces


Garayev M. T. , GÜRDAL M.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.1504-1508, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1706-93
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1504-1508

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.