Toeplitz Operators with Radial Symbols on Bergman Space and Schatten-von Neumann Classes

Автор(и)

  • Z. Bendaoud Faculté des Sciences, Université Amar Telidji-Laghouat, B.P. 37G, route de Ghardaia, Laghouat 03000, Algérie
  • S. Kupin Institut de Mathématiques de Bordeaux UMR5251, CNRS, Université de Bordeaux, 351 ave. de la Libération, 33405 Talence Cedex, France
  • K. Toumache Faculté des Sciences Exactes, des Sciences de la Nature et de la Vie, Université Mohamed Khider-Biskra, B.P. 145, Biskra 07000, Algérie
  • B. Touré Faculté des Sciences et des Techniques, Université des Sciences, des Techniques et des Technologies de Bamako, Campus Universitaire de Badalabougou à Bamako, B.P. E-3206, Bamako, Mali
  • R. Zarouf Institut de Mathématiques de Marseille, UMR 7373, Aix-Marseille Université, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France

DOI:

https://doi.org/10.15407/mag16.01.003

Анотація

У цій роботі ми вивчаємо спектральні властивості операторів Тепліца з (квазі)радіальними символами на просторі Бергмана. Точніше, проблема, яка нас цікавить, полягає в тому, щоб зрозуміти коли даний оператор Теплиця належить класу Шаттена-фон Ноймана. Для розвинення цього напряму використано методи теорії апроксимації (тобто поліноми Лежандра).

Mathematics Subject Classification: 47B35, 30H20, 42C10.

Ключові слова:

оператори Тепліца, (квазі)радіальні символи, простори Бергмана, класи Шаттена-фон Ноймана, поліноми Лежандра.

Посилання

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Bendaoud, Z.; Kupin, S.; Toumache, K.; Touré, B.; Zarouf, R. Toeplitz Operators with Radial Symbols on Bergman Space and Schatten-von Neumann Classes. Журн. мат. фіз. анал. геом. 2020, 16, 3-26.

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Том 16 № 1 (2020)

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