In this paper we obtain some sharp inequalities for logarithmically subharmonic functions on $\mathbb{R}^n$, which extends and simplifies some previously known results.
Jineng DAI
. SHARP INEQUALITIES FOR LOGARITHMICALLY SUBHARMONIC FUNCTIONS ON $\mathbb{R}^n$[J]. Acta mathematica scientia, Series B, 2026
, 46(2)
: 781
-789
.
DOI: 10.1007/s10473-026-0214-2
[1] Brascamp H, Lieb E. Best constant in Young's inequality, its converse,its generalization to more than three functions. Adv Math, 1976, 20: 151-173
[2] Burbea J. Inequalities for holomorphic functions of several complex variables. Trans Amer Math Soc, 1983, 276: 247-266
[3] Burbea J. Sharp inequalities for holomorphic functions. Illinois J Math, 1987, 31: 248-264
[4] Carlen E. Some integral identities and inequalities for entire functions and their application to the coherent state transform. J Funct Anal, 1991, 97: 231-249
[5] Dai J. Sharp inequalities for holomorphic function spaces. J Funct Anal, 2024, 286: 110330
[6] Kalaj D. Contraction property of Fock type space of log-subharmonic functions in $\mathbb{R}^m$. New York J Math, 2024, 30: 1293-1303
[7] Krantz S.Function Theory of Several Complex Variables. Providence, RI: American Mathematical Society, 2001
[8] Nicola F, Tilli P. The Faber-Krahn inequality for the short-time Fourier transform. Invent Math, 2022, 230: 1-30
[9] Saitoh S.Some inequalities for entire functions. Proc Amer Math Soc, 80: 254-258
