On the completeness and minimality of double and unitary systems in Morrey-type spaces
Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 74-81.

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In this work, double and unitary systems of functions in Morrey type spaces $M^{p,\alpha}(-a,a)$ and $M^{p,\alpha}(0,a)$ are considered. A relationship between the completeness and minimality properties of these systems in these spaces is established.
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F. Seyidova. On the completeness and minimality of double and unitary systems in Morrey-type spaces. Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 74-81. http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a7/

[1] C. Bennett, R. Sharpley, Interpolation of operators, Academic Press, 1988, 469 pp. | MR | Zbl

[2] B. T. Bilalov, “The basis property of a perturbed system of exponentials in Morrey-type spaces”, Siberian Math. J., 60:2 (2019), 249–271 | DOI | MR | Zbl

[3] B. T. Bilalov, “Bases of a system of exponentials in $L_p$”, Dokl. Ross. Akad. Nauk, 392:5 (2003), 583–585 | MR | Zbl

[4] B. T. Bilalov, “Basis properties of some systems of exponents, cosines and sines”, Siberian Math. J., 45:2 (2004), 264–273 | DOI | MR | Zbl

[5] B. T. Bilalov, “A system of exponential functions with shift and the Kostyuchenko problem”, Siberian Math. J., 50:2 (2009), 223–230 | DOI | MR | Zbl

[6] B. T. Bilalov, “On solution of the Kostyuchenko problem”, Siberian Math. J., 53:3 (2012), 404–418 | DOI | MR | Zbl

[7] B. T. Bilalov, A. A. Huseynli, S. R. El-Shabrawy, “Basis properties of trigonometric systems in weighted Morrey spaces”, Azerb. J. Math., 9:2 (2019), 166–192 | MR | Zbl

[8] D. M. Israfilov, N. P. Tozman, “Approximation in Morrey-Smirnov classes”, Azerb. J. Math., 1:1 (2011), 99–113 | MR | Zbl

[9] M. I. Kadets, “The exact value of the Paley-Wiener constant”, Dokl. Akad. Nauk USSR, 155:6 (1964), 1253–1254 | MR | Zbl

[10] B. Y. Levin, Distribution of roots of entire functions, GITL, M., 1956 (in Russian) | MR

[11] E. I. Moiseev, “On some boundary value problems for mixed type equations”, Diff. Uravn., 28:1 (1992), 123–132 | MR

[12] E. I. Moiseev, “On solution of Frankle's problem in special domain”, Diff. Uravn, 28:4 (1992), 682–692 | MR

[13] E. I. Moiseev, “On basicity of systems of sines and cosines”, Dokl. Akad. Nauk USSR, 275:4 (1984), 794–798 | MR | Zbl

[14] E. I. Moiseev, “On basicity of a system of sines”, Diff. Uravn., 23:1 (1987), 177–179 | MR | Zbl

[15] E. I. Moiseev, N. O. Taranov, “Solution of a Gellerstedt problem for the Lavrent'ev-Bitsadze equation”, Differ. Equat., 45:4 (2009), 543–548 | MR | Zbl

[16] T. R. Muradov, “On completeness and minimality of double and unitary systems in generalized Lebesgue spaces”, Caspian J. Appl. Math., Ecology and Economics, 3:1 (2015), 83–90

[17] T. R. Muradov, “On basicity of double and unitary systems in generalized Lebesgue spaces”, Mathematica Aeterna, 5:4 (2015), 657–666

[18] R. Paley, N. Wiener, Fourier transforms in the complex domain, Amer. Math. Soc. Colloq. Publ., 19, Amer. Math. Soc., Providence, RI, 1934 | MR | Zbl

[19] S. M. Ponomarev, “On one eigenvalue problem”, Dokl. Akad. Nauk USSR, 249:5 (1979), 1068–1070 | MR | Zbl

[20] S. M. Ponomarev, “On the theory of boundary value problems for equations of mixed type in three-dimensional domains”, Dokl. Akad. Nauk USSR, 246:6 (1979), 1303–1304 | MR

[21] A. M. Sedletskii, “Biorthogonal expansions in series of exponents on intervals of real axis”, Usp. Mat. Nauk, 37:5 (1982), 51–95 | MR | Zbl