TY - JOUR
T1 - Radial growth, Lipschitz and Dirichlet spaces on solutions to the non-homogenous Yukawa equation
AU - Chen, Shaolin
AU - Rasila, Antti
AU - Wang, Xiantao
N1 - Publisher Copyright:
© 2014, Hebrew University of Jerusalem.
PY - 2014/10
Y1 - 2014/10
N2 - In this paper, we investigate some properties of solutions f to the nonhomogenous Yukawa equation Δf(z) = λ(z)f(z) in the unit ball (formula presented) of ℂn, where λ is a real function from (formula presented) into ℝ. First, we prove that a main result of Girela, Pavlović and Peláez (J. Analyse Math. 100 (2006), 53–81) on analytic functions can be extended to this more general setting. Then we study relationships on such solutions between the bounded mean oscillation and Lipschitz-type spaces. The obtained result generalized the corresponding result of Dyakonov (Acta Math. 178 (1997), 143–167). Finally, we discuss Dirichlet-type energy integrals on such solutions in the unit ball of ℂn and give an application.
AB - In this paper, we investigate some properties of solutions f to the nonhomogenous Yukawa equation Δf(z) = λ(z)f(z) in the unit ball (formula presented) of ℂn, where λ is a real function from (formula presented) into ℝ. First, we prove that a main result of Girela, Pavlović and Peláez (J. Analyse Math. 100 (2006), 53–81) on analytic functions can be extended to this more general setting. Then we study relationships on such solutions between the bounded mean oscillation and Lipschitz-type spaces. The obtained result generalized the corresponding result of Dyakonov (Acta Math. 178 (1997), 143–167). Finally, we discuss Dirichlet-type energy integrals on such solutions in the unit ball of ℂn and give an application.
UR - http://www.scopus.com/inward/record.url?scp=84936939181&partnerID=8YFLogxK
U2 - 10.1007/s11856-014-1092-1
DO - 10.1007/s11856-014-1092-1
M3 - 文章
AN - SCOPUS:84936939181
SN - 0021-2172
VL - 204
SP - 261
EP - 282
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -