Multiplication Operators Between Iterated Logarithmic Lipschitz Spaces of a Tree

Dynamics of Weighted Backward Shifts on the Little Lipschitzspace

“…Allen and Colonna firstly introduced a class of interated logarithmic Lipschitz spaces in [3], on an infinite tree which arise naturally in the context of operator theory. They also characterized boundedness and compactness of multiplication operators on the iterated logarithmic Lipschitz spaces of a tree in [3] and [4]. The Toeplitz operators on the L p space of a tree were studied in [8].…”

Composition operators on Hardy spaces of the homogenous rooted trees

“…These books bring together many well-developed aspects of the subject along with several open problems. The systematic study of operator theory on discrete structure specially on infinite trees has been the subject of several recent papers [1,2,3,4,5,6,7,9,10,11,15,16].…”

“…The basic questions such as boundedness, compactness, estimates for operator norm and essential norm, isometry and spectrum were considered for multiplication operators between various discrete function spaces on infinite tree such as Lipschitz space, weighted Lipschitz space and iterated logarithmic Lipschitz spaces. See [1,2,3,5,9,10] for more details.…”