Abstract
In this paper, sufficient conditions for the analytic coefficients of the differential equation \[ (f^{(k)})^{n_k}+A_{k-1}(f^{(k-1)})^{n_{k-1}}+\cdots+A_1(f')^{n_1}+A_0f=0 \] are found such that all analytic solutions belong to a given $H_p^\infty-$ space, or to the Hardy space $H^p.$ The results we obtain are a generalization of some earlier results by Heittokangas, Korhonen and Rättyä.
Citation
Li-peng Xiao. "COMPLEX DIFFERENTIAL EQUATIONS WITH SOLUTIONS IN THE HARDY SPACES." Taiwanese J. Math. 18 (3) 909 - 923, 2014. https://doi.org/10.11650/tjm.18.2014.3705
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