We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the equivalence of some conditions for weighted Hardy spaces.
- Authors
Dil’nyi, V.
- Abstract
Let G ∈ H (ℂ+), where H (ℂ+) is the class of functions analytic in the half plane ℂ+ = { z: Re z > 0} and such that . In the case where a singular boundary function G is identically constant and G( z) ≠ 0 for all z ∈, ℂ+, we establish conditions equivalent to the condition $$G(z)\exp \left\{ {\frac{{2\sigma }}{\pi }zlnz - cz} \right\} \notin H^p (\mathbb{C}_ + )$$ , where H p (ℂ+) is the Hardy space, in terms of the behavior of G on the real semiaxis and on the imaginary axis.
- Subjects
HARDY spaces; FUNCTIONAL analysis; INTEGRAL calculus; DIFFERENTIAL equations; EQUIVALENCE principle (Physics)
- Publication
Ukrainian Mathematical Journal, 2006, Vol 58, Issue 9, p1425
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-006-0141-2