Variable Herz–Morrey estimates for rough fractional Hausdorff operator

• Published in: Journal of inequalities and applications Vol. 2024; no. 1; pp. 33 - 14
• Main Authors: Hussain, Amjad, Khan, Ilyas, Mohamed, Abdullah
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 12.03.2024; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Boundedness; Function space; Hausdorff operator; Herz-type spaces; Mathematics; Mathematics and Statistics; Partial differential equations; Rough kernel; Variable exponent; Rough kernel; 42B35; 26D10; 47G10; Boundedness; Herz-type spaces; Hausdorff operator; Variable exponent; 26D15

As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.