Аннотация:
Изучена базисность системы типа Костюченко в L2L2. В частности, получен критерий базисности системы Костюченко при естественном ограничении на параметр, входящий в эту систему.
Ключевые слова:
базисность, полнота, минимальность, система Костюченко.
Статья поступила: 13.05.2009 Окончательный вариант: 07.12.2011
Образец цитирования:
Б. Т. Билалов, “О решении задачи А. Г. Костюченко”, Сиб. матем. журн., 53:3 (2012), 509–526; Siberian Math. J., 53:3 (2012), 404–418
F. Seyidova, “On the completeness and minimality of double and unitary systems in Morrey-type spaces”, Eurasian Math. J., 12:2 (2021), 74–81
Bilalov B. Guliyeva A. Sadigova S., “On Riemann Problem in Weighted Smirnov Classes With General Weight”, Acta Comment. Univ. Tartu. Math., 25:1 (2021), 33–56
Sadigova S.R., “On Riemann Problem in Weighted Smirnov Classes With Power Weight”, Rocky Mt. J. Math., 51:3 (2021), 1007–1026
Bilalov B.T. Sadigova S.R. Alili V.G., “On Solvability of Riemann Problems in Banach Hardy Classes”, Filomat, 35:10 (2021), 3331–3352
М. И. Исмаилов, “О разрешимости задач Римана в классах гранд-Харди”, Матем. заметки, 108:4 (2020), 529–546; M. I. Ismailov, “On the Solvability of Riemann Problems in Grand Hardy Classes”, Math. Notes, 108:4 (2020), 523–537
Seyidova F., “on the Basicity of Systems of Sines and Cosines With a Linear Phase in Morrey-Type Spaces”, Sahand Commun. Math. Anal., 17:4 (2020), 85–93
Sadigova S.R., “on the Particular Solution of the Nonhomogeneous Riemann Problem in the Weighted Smirnov Classes With the General Weight”, Proc. Inst. Math. Mech., 46:2 (2020), 272–283
Fatima Guliyeva, “Relationship Between an Atomic Decomposition of Double and Unary Systems in Grand-Lebesgue Spaces”, WSEAS TRANSACTIONS ON MATHEMATICS, 19 (2020), 50
Bilal BİLALOV, Sabina SADİGOVA, Aysel GULİYEVA, “Double bases from generalized Faber polynomials with complex-valued coefficients in weighted Lebesgue spaces”, Hacettepe Journal of Mathematics and Statistics, 2020, 1
Sadigova S.R., “the General Solution of the Homogeneous Riemann Problem in Weighted Smirnov Classes With General Weight”, Azerbaijan J. Math., 9:2 (2019), 100–113
A. A. Huseynli, V. S. Mirzoyev, A. A. Quliyeva, “On basicity of the perturbed system of exponents in Morrey–Lebesgue space”, Azerbaijan J. Math., 7:2 (2017), 197–216
B. T. Bilalov, A. A. Huseynli, F. Sh. Seyidova, “Riemann boundary value problems in generalized weighted Hardy spaces”, Proc. Inst. Math. Mech., 43:2 (2017), 240–251
L. V. Kritskov, “Necessary condition for the uniform minimality of Kostyuchenko type systems”, Azerbaijan J. Math., 5:1 (2015), 97–103