Geodesic
Bases of the Perturbed System of Exponents in Weighted Lebesgue Space with a General Weight
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 477 .

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The weighted Lebesgue and Hardy spaces with a general weight are considered. Basicity of a part of exponential system is proved in Hardy classes, where the weight satisfies the Muckenhoupt condition. Using these results the basicity of the perturbed system of exponents in the weighted Lebesgue space is studied. Some special cases are considered.
Classification : 46A35, 30H10, 46B15
Keywords: weighted space, system of exponents, basicity 
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     author = {Sabina R. Sadigova and Aysel E. Guliyeva},
     title = {Bases of the {Perturbed} {System} of {Exponents} in {Weighted} {Lebesgue} {Space} with a {General} {Weight}},
     journal = {Kragujevac Journal of Mathematics},
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Sabina R. Sadigova; Aysel E. Guliyeva. Bases of the Perturbed System of Exponents in Weighted Lebesgue Space with a General Weight. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 477 . http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a11/