John–Nirenberg space on LCA groups

Article Type

Research Article

Publication Title

Analysis and Mathematical Physics

Abstract

For a Locally Compact Abelian (LCA) group G possessing a covering family, we introduce and study a class of BMO type function spaces, called the John–Nirenberg spaces JNp, for some parameter p. We generalize the well-known John–Nirenberg inequality for functions inJNpspaces in this setting which states that JNp can be embedded into weak Lp space.

DOI

10.1007/s13324-022-00731-4

Publication Date

10-1-2022

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