TY - JOUR
T1 - Local Hardy-Littlewood maximal operator
AU - Lin, Chin Cheng
AU - Stempak, Krzysztof
N1 - Funding Information:
Research of C.-C. Lin supported by NSC and NCTS of Taiwan
PY - 2010
Y1 - 2010
N2 - In this article we define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted Lp, p > 1, and weighted weak type (1, 1) estimates with weight function w ∈ Alocp, the class of local Ap weights which is larger than the Muckenhoupt Ap class. Also, the condition w ∈ Alocp turns out to be necessary for the weighted weak type (p, p), p ≥ 1, inequality to hold.
AB - In this article we define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted Lp, p > 1, and weighted weak type (1, 1) estimates with weight function w ∈ Alocp, the class of local Ap weights which is larger than the Muckenhoupt Ap class. Also, the condition w ∈ Alocp turns out to be necessary for the weighted weak type (p, p), p ≥ 1, inequality to hold.
UR - http://www.scopus.com/inward/record.url?scp=77956949561&partnerID=8YFLogxK
U2 - 10.1007/s00208-010-0499-1
DO - 10.1007/s00208-010-0499-1
M3 - 期刊論文
AN - SCOPUS:77956949561
SN - 0025-5831
VL - 348
SP - 797
EP - 813
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 4
ER -