TY - JOUR
T1 - SINGULAR AND MARCINKIEWICZ INTEGRAL OPERATORS ON PRODUCT DOMAINS
AU - Al-Azri, Badriya
AU - Al-Salman, Ahmad
N1 - Publisher Copyright:
© 2023 Korean Mathematical Society
PY - 2023
Y1 - 2023
N2 - In this paper, we prove Lp estimates of a class of singular integral operators on product domains along surfaces defined by mappings that are more general than polynomials and convex functions. We assume that the kernels are in L(log L)2(Sn−1 × Sm−1). Furthermore, we prove Lp estimates of the related class of Marcinkiewicz integral operators. Our results extend as well as improve previously known results
AB - In this paper, we prove Lp estimates of a class of singular integral operators on product domains along surfaces defined by mappings that are more general than polynomials and convex functions. We assume that the kernels are in L(log L)2(Sn−1 × Sm−1). Furthermore, we prove Lp estimates of the related class of Marcinkiewicz integral operators. Our results extend as well as improve previously known results
KW - Hardy Littlewood maximal function
KW - LLp estimates
KW - Marcinkiewicz integral operators on product domains
KW - Singular integral operators on product domains
KW - convex
KW - maximal functions
UR - http://www.scopus.com/inward/record.url?scp=85159110889&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85159110889&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/250c621b-792d-3078-a234-e2730f5bdc59/
U2 - 10.4134/CKMS.c210421
DO - 10.4134/CKMS.c210421
M3 - Article
AN - SCOPUS:85159110889
SN - 1225-1763
VL - 38
SP - 401
EP - 430
JO - Communications of the Korean Mathematical Society
JF - Communications of the Korean Mathematical Society
IS - 2
ER -