A nonnegative function on the real line satisfies the condition A∞ if, given ∊ > 0, there exists a δ > 0 such that if I is an interval, E ⊂ I, and |E| < δ|I|, then. A nonnegative function on the real line satisfies the condition A if for every interval I, where 2I is the interval with the same center as I and twice as long, and C is independent of I. An example is given of a function that satisfies A but not A∞.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Jul 1974|
All Science Journal Classification (ASJC) codes
- Applied Mathematics