Some new characterizations of boundedness of commutators of $p$-adic maximal-type functions on $p$-adic Morrey spaces in terms of Lipschitz spaces

Abstract

In this note, we investigate some new characterizations of the $p$-adic version of Lipschitz spaces via the boundedness of commutators of the $p$-adic maximal-type functions, including $p$-adic sharp maximal functions, $p$-adic fractional maximal functions, and $p$-adic fractional maximal commutators on $p$-adic Morrey spaces, when a symbol function $b$ belongs to the Lipschitz spaces.

Keywords

• $p$-adic sharp maximal function
• $p$-adic fractional maximal function
• $p$-adic morrey spaces
• lipschitz space
• commutators