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- W4366759517 abstract "For (mu_j) to a positive Borel measure on the interval ([0,1)). The Hankel matrix (mathcal{H}_{mu_j}=left(left(mu_jright)_{n, k}right)_{j, n, k geq 0}) with entries (left(mu_jright)_{n, k}=left(mu_jright)_{n+k}), where (left(mu_jright)_n=int_{[0,1)} t^n d mu_j(t)), the operator is formally induced[sum_i mathcal{D} mathcal{H}_{mu_j}left(f_jright)(z)=sum_{n=0}^{infty} sum_{k=0}^{infty} sum_ileft(left(mu_jright)_{n, k} a_kright)(n+1) z^n]in the space of each analytical function (f_j(z)=sum_{k=0}^{infty} a_k z_n) in the unit disc (mathbb{D}). We classify positive Borel measures on [0,1) as such (mathcal{D} mathcal{H}_{mu_j}left(f_jright)(z)=int_{[0,1)} frac{f_j(t)}{(1-t z)^2} d mu_j(t)) for all in Hardy spaces (H^{1+epsilon}(0 leq epsilon<infty)), and we describe those for which (mathcal{D} mathcal{H}_{mu_j}) is a bounded* operator from (H^{1+epsilon}(0 leq epsilon<infty)) into (H^{1+2 epsilon}(epsilon geq 0))." @default.
- W4366759517 created "2023-04-24" @default.
- W4366759517 creator A5059965917 @default.
- W4366759517 date "2023-04-22" @default.
- W4366759517 modified "2023-10-18" @default.
- W4366759517 title "Application on a Factor Derived from Hilbert and Carleson Measure on Hardy Spaces" @default.
- W4366759517 doi "https://doi.org/10.9734/jamcs/2023/v38i71771" @default.
- W4366759517 hasPublicationYear "2023" @default.
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