Bp,q-Functions and their Harmonic Majorants

2004 ◽  
pp. 51-63 ◽  
Author(s):  
S. Bernstein ◽  
K. Gürlebeck ◽  
L. F. Reséndis ◽  
Luis M. Tovar S.
Keyword(s):  
Harmonic Majorants

scholarly journals A note on n-harmonic majorants

1986 ◽  
Vol 34 (3) ◽  
pp. 461-472
Author(s):  
Hong Oh Kim ◽  
Chang Ock Lee
Keyword(s):  
Harmonic Function ◽  
Complex Plane ◽  
Unit Disc ◽  
Dirichlet Integral ◽  
Harmonic Majorant ◽  
Harmonic Majorants

Suppose D (υ) is the Dirichlet integral of a function υ defined on the unit disc U in the complex plane. It is well known that if υ is a harmonic function in U with D (υ) < ∞, then for each p, 0 < p < ∞, |υ|p has a harmonic majorant in U.We define the “iterated” Dirichlet integral Dn (υ) for a function υ on the polydisc Un of Cn and prove the polydisc version of the well known fact above:If υ is an n-harmonic function in Un with Dn (υ) < ∞, then for each p, 0 < p < ∞, |υ|p has an n-harmonic majorant in Un.

scholarly journals Holomorphic Spaces in the Unit Ball of

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Augusto Guadalupe Miss Paredes ◽  
Lino Feliciano Reséndis Ocampo ◽  
Luis Manuel Tovar Sánchez
Keyword(s):  
Unit Ball ◽  
Holomorphic Functions ◽  
Vector Spaces ◽  
Spaces Of Holomorphic Functions ◽  
Harmonic Majorants

We introduce the and vector spaces of holomorphic functions defined in the unit ball of , generalizing previous work like Ouyang et al. (1998), Stroethoff (1989), and Choa et al. (1992). Likewise, we characterize those spaces in terms of harmonic majorants as a generalization of Arellano et al. (2000).

Functions with slowly-growing area and harmonic majorants

1981 ◽  
Vol 39 (3) ◽  
pp. 259-264 ◽  
Author(s):  
Shinji Yamashita
Keyword(s):  
Harmonic Majorants

Spaces and Harmonic Majorants

2004 ◽  
Vol 49 (4) ◽  
pp. 241-256 ◽  
Author(s):  
Rauno Aulaskari ◽  
Lino F. Reséndis O. † ◽  
Luis M. Tovar S. ‡
Keyword(s):  
Harmonic Majorants

scholarly journals Sharp estimates of uniform harmonic majorants in the plane

1987 ◽  
Vol 25 (1-2) ◽  
pp. 15-28 ◽  
Author(s):  
Matts Essén
Keyword(s):  
Sharp Estimates ◽  
Harmonic Majorants

GENERALIZATION OF THE PHRAGMÉN–LINDELÖF THEOREMS FOR SUBFUNCTIONS

2013 ◽  
Vol 24 (08) ◽  
pp. 1350062 ◽  
Author(s):  
LEI QIAO ◽  
GUOSHUANG PAN
Keyword(s):  
Schrödinger Operator ◽  
Integral Representations ◽  
Schrodinger Operator ◽  
Stationary Schrödinger Operator ◽  
Lindelöf Theorem ◽  
Harmonic Majorants

In this paper, we consider the Phragmén–Lindelöf theorem for subfunctions, associated with the stationary Schrödinger operator. Meanwhile, the integral representations and a-harmonic majorants of them are also given.

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