Journal of the Chinese Chemical Society.
Chinese Chemical Society Taiwan.
2018.
Hardy spaces, approximation issues and boundary value problems
The weighted Hardy spaces ep (B; ρ) of harmonic functions are introduced on simply connected domains B with rectifiable boundaries. Boundary properties of functions in these spaces are investigated, the solvability of the Dirichlet problem is established, while its solution with its derivatives are estimated. Approximation properties of the system of harmonic polynomials in ep (B;ρ)) are studied. © 2018, Eurasian Mathematical Journal.
Authors
Vlasov V.I.
1,
2
Journal
Publisher
Eurasian Mathematical Journal
Number of issue
3
Language
English
Pages
85-94
Status
Published
Link
Volume
9
Year
2018
Organizations
- 1 Department of Applied Mathematical Physics, Federal Research Center 'Computer Science and Control' of the Russian Academy of Sciencesv, 40 Vavilova St, Moscow, 113999, Russian Federation
- 2 RUDN University, 6 Mikluho-Malaya St, Moscow, 117198, Russian Federation
Keywords
Analytic and harmonic functions; Approximation issues; Boundary value problem solvability; Hardy spaces; Harmonic polynomials
Date of creation
04.02.2019
Date of change
04.02.2019
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