On Basicity of the Perturbed System of Exponents in Morrey-Lebesgue Space

Ali Huseynli, Vidadi Mirzoyev, Aida Quliyeva


In this work considers the Riemann boundary value problem
with the piecewise continuous coefficient in Morrey-Hardy classes. Under
some conditions on the coefficient, the Fredholmness of this problem is
studied and the general solution of homogeneous and non-homogeneous
problems in Morrey-Hardy classes is constructed. The obtained results are
applied to the study of basis properties of the system of exponents with a
piecewise linear phase in Morry-Lebesgue space.


Morrey-Hardy classes, Riemann problem, bases, double system of exponent. 1


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