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Optimal recovery and generalized Carlson inequality for weights with symmetry propertiesстатья
- Автор: Osipenko K.Yu
- Журнал: ArXiv e-prints
- Год издания: 2023
- DOI: 10.48550/ARXIV.2303.10355
- Аннотация: The paper concerns problems of the recovery of operators from noisy information in weighted Lq-spaces with homogeneous weights. A number of general theorems are proved and applied to finding exact constants in multidimensional Carlson type inequalities with several weights and problems of the recovery of differential operators from a noisy Fourier transform. In particular, optimal methods are obtained for the recovery of powers of generalized Laplace operators from a noisy Fourier transform in the Lp-metric.
- Добавил в систему: Осипенко Константин Юрьевич