Boundedness of sublinear operators on two-weighted grand Herz spaces with variable exponent

• Published in: Journal of inequalities and applications Vol. 2025; no. 1; pp. 28 - 16
• Main Author: Nafis, Hammad
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 04.03.2025; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Grand spaces; Harmonic analysis; Herz spaces; Mathematical functions; Mathematics; Mathematics and Statistics; Operators; Partial differential equations; Sublinear operators; Variable exponent spaces; Herz spaces; Sublinear operators; Grand spaces; Variable exponent spaces; 46E30; 47B35

In this article, we introduce the concept of two-weighted grand variable Herz spaces as a natural generalization of variable Herz spaces. We establish the boundedness of sublinear operators within this framework, offering significant insights into their functional behavior. Our findings, incorporati...