Density, Duality and Preduality in Grand Variable Exponent Lebesgue and Morrey Spaces
نویسندگان
چکیده
منابع مشابه
Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g μ *-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.
متن کاملOn isomorphism of two bases in Morrey-Lebesgue type spaces
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 $left[-pi , pi right]$, then it is isomorphic to the classical system of exponents in this space.
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We prove optimal integrability results for solutions of the p(·)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L to variable exponent weak Lebesgue spaces.
متن کاملBoundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent
The aim of this paper is to establish the vector-valued inequalities for Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g∗μ-functions, and their commutators on the Herz-Morrey spaces with variable exponentMK̇ p,q(·)(R n). By applying the properties of Lp(·)(Rn) spaces and the vector-valued inequalities for Littlewood-Paley operators and their...
متن کاملon isomorphism of two bases in morrey-lebesgue type spaces
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 $left[-pi , pi right]$, then it is isomorphic to the classical system of exponents in this space.
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2018
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-018-1145-5