Mixed fractional integration operators

More about the book

The book delves into mixed Riemann Liouville integrals of functions with two variables, exploring Hölder spaces characterized by differing orders in each variable. It examines both first-order differences and mixed second-order differences, focusing on evaluating mixed fractional integrals. The findings extend the classical Hardy-Littlewood theorem from one-dimensional to mixed Hölderness scenarios, including considerations for weighted cases with power weights. This research contributes to the understanding of fractional calculus in higher dimensions and its applications.