TY - JOUR
T1 - Variational estimates for averages and truncated singular integrals along the prime numbers
AU - Mirek, Mariusz
AU - Trojan, Bartosz
AU - Zorin-Kranich, Pavel
N1 - Publisher Copyright:
© 2017 American Mathematical Society.
PY - 2017
Y1 - 2017
N2 - We prove, in a unified way, r-variational estimates, r > 2, on ℓs (Z) spaces, s ∈ (1, ∞), for averages and truncated singular integrals along the set of prime numbers. Moreover, we obtain an improved growth rate of the bounds as r → 2.
AB - We prove, in a unified way, r-variational estimates, r > 2, on ℓs (Z) spaces, s ∈ (1, ∞), for averages and truncated singular integrals along the set of prime numbers. Moreover, we obtain an improved growth rate of the bounds as r → 2.
UR - http://www.scopus.com/inward/record.url?scp=85019034882&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85019034882&partnerID=8YFLogxK
U2 - 10.1090/tran/6822
DO - 10.1090/tran/6822
M3 - Article
AN - SCOPUS:85019034882
SN - 0002-9947
VL - 369
SP - 5403
EP - 5423
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 8
ER -