Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko

Yinqin Li is a Ph.D. student of mathematics at Beijing Normal University, China and his advisor is Professor Dachun Yang. He received his B.S. from Beijing Normal University in 2022. His research interests now include the real-variable theory of function spaces and its applications in the boundedness of operators.Dachun Yang is a professor of mathematics at Beijing Normal University, China. He received his Ph.D. from Beijing Normal University in 1992 under the supervision of Shanzhen Lu. Since his Ph.D., real-variable theory about Herz–Hardy spaces has been one of Dachun Yang's research interests. His research interests now include real-variable theory of function spaces (associated with operators) on various underlying spaces including Euclidean spaces, metric measure spaces, and nonhomogeneous metric spaces, as well as their applications to the boundedness of (Riesz or singular integral) operators and multipliers. Dachun Yang and his co-authors have published 4 monographs and more than 400 journal articles.Long Huang is a postdoctoral researcher of mathematics at Guangzhou University, China. He received his Ph. D. from Beijing Normal University in 2021 under the supervision of Dachun Yang. His research interests now include the real-variable theory of function spaces and its applications in the boundedness of operators.

• 1 Generalized Herz Spaces of Rafeiro and Samko.- 2 Block Spaces and Their Applications.- 3 Boundedness and Compactness Characterizations of Commutators on Generalized Herz Spaces.- 4 Generalized Herz–Hardy Spaces.- 5 Localized Generalized Herz–Hardy Spaces.- 6 Weak Generalized Herz–Hardy Spaces.- 7 Inhomogeneous Generalized Herz Spaces and Inhomogeneous Block Spaces.- 8 Hardy Spaces Associated with Inhomogeneous Generalized Herz Spaces.