Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896619 | Journal of Functional Analysis | 2018 | 27 Pages |
Abstract
We study a function space JNp based on a condition introduced by John and Nirenberg as a variant of BMO. It is known that LpâJNpâLp,â, but otherwise the structure of JNp is largely a mystery. Our first main result is the construction of a function that belongs to JNp but not Lp, showing that the two spaces are not the same. Nevertheless, we prove that for monotone functions, the classes JNp and Lp do coincide. Our second main result describes JNp as the dual of a new Hardy kind of space HKpâ².
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Galia Dafni, Tuomas Hytönen, Riikka Korte, Hong Yue,