| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614819 | Journal of Mathematical Analysis and Applications | 2015 | 10 Pages |
Abstract
Let h(Bd) denote the space of real-valued harmonic functions on the unit ball Bd of Rd, dâ¥2. Given a radial weight w on Bd, consider the following problem: construct a finite family {f1,f2,â¦,fJ} in h(Bd) such that the sum |f1|+|f2|+â¯+|fJ| is equivalent to w. We solve the problem for weights w with a doubling property. Moreover, if d is even, then we characterize those w for which the problem has a solution.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Evgueni Doubtsov,