Optimal recovery in weighted spaces with homogeneous weightsстатья
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Дата последнего поиска статьи во внешних источниках: 6 июля 2022 г.
Аннотация:The paper concerns problems of the recovery of operators from noisy information in weighted $L_q$-spaces with homogeneous weights. A number of general theorems are proved and applied to problems of the recovery of differential operators from a noisy Fourier transform. In particular, optimal methods are obtained for the recovery of powers of the Laplace operator from a noisy Fourier transform in the $L_p$-metric.