LSU Digital Commons LSU Digital Commons Averages along the Primes: Improving and Sparse Bounds Averages along the Primes: Improving and Sparse Bounds
LSU Digital Commons LSU Digital Commons Averages along the Primes: Improving and Sparse Bounds Averages along the Primes: Improving and Sparse Bounds
复制标题
LSU 数字共享 LSU 数字共享 沿素数的平均数：改进和稀疏边界 沿素数的平均数：改进和稀疏边界
DOI：
--
复制
发表时间：
--
期刊：
影响因子：
--
通讯作者：
C. Chapple
中科院分区：
文献类型：
--
作者：
C. Chapple
: Consider averages along the prime integers P given by These averages satisfy a uniform scale-free (cid:96) p -improving estimate. For all 1 < p < 2, there is a constant C p so that for all integer N and functions f supported on [0, N ], there holds The maximal function A * f = sup N | A N f | satisfies ( p , p ) sparse bounds for all 1 < p < 2. The latter are the natural variants of the scale-free bounds. As a corollary, A * is bounded on (cid:96) p ( w ), for all weights w in the Muckenhoupt A p class. No prior weighted inequalities for A * were known.
