TY - JOUR
T1 - Sharp maximal function estimates for linear and multilinear pseudo-differential operators
AU - Park, Bae Jun
AU - Tomita, Naohito
N1 - Publisher Copyright:
© 2024 Elsevier Inc.
PY - 2024/12/15
Y1 - 2024/12/15
N2 - In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by Lerner, Ombrosi, Pérez, Torres, and Trujillo-González [16], which provides more elaborate and natural weighted estimates in the multilinear setting.
AB - In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by Lerner, Ombrosi, Pérez, Torres, and Trujillo-González [16], which provides more elaborate and natural weighted estimates in the multilinear setting.
KW - Multilinear operator
KW - Pseudo-differential operator
KW - Sharp maximal function
KW - Weighted norm inequality
UR - https://www.scopus.com/pages/publications/85203056228
U2 - 10.1016/j.jfa.2024.110661
DO - 10.1016/j.jfa.2024.110661
M3 - Article
AN - SCOPUS:85203056228
SN - 0022-1236
VL - 287
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 12
M1 - 110661
ER -