On Compactness of Embedding Operators in Grand Grand and Small Small Besov Spaces

ABSTRACT In this paper, a grand grand and small small Besov spaces are studied. Namely, first, the norm of these spaces is determined. Next with the help of integral representation of functions, we prove the differential and differential‐difference properties of functions from introduced spaces. In addition, we defined a grand small and small grand Besov spaces. Also, we prove compactness theorems in grand grand Besov space and small small Besov space.