TY - JOUR
AU - Dieu, Nguyen Quang
AU - Long, Tang Van
PY - 2021/11/30
Y2 - 2022/01/22
TI - Product property of global $P$-extremal functions
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 127
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-129007
UR - https://www.mscand.dk/article/view/129007
SP -
AB - <p>In this note, we establish a product property for $P$-extremal functions in the same spirit as the original product formula due to J. Siciak in Ann. Polon. Math., 39 (1981), 175–211. As a consequence, we obtain convexity for the sublevel sets of such extremal functions. Moreover, we also generalize the product property of $P$-extremal functions established by L. Bos and N. Levenberg in Comput. Methods Funct. Theory 18 (2018), 361–388, and later by N. Levenberg and M. Perera, in Contemporary Mathematics 743 (2020), 11–19, in which no restriction on $P$ is needed.</p>
ER -