ON ISOMORPHISM OF TWO BASES IN MORREY-LEBESGUE TYPE SPACES

Abstract

Double system of exponents with complex-valued coefficients is considered. Under some conditions on the coefficients, we prove that if this system forms a basis for the Morrey-Lebesgue type
space on ,, then it is isomorphic to the classical system of exponents in this space.
Keywords: Morrey-Lebesgue type space, system of exponents, isomorphism, basicity