Geodesic
Hardy spaces, approximation issues and boundary value problems
Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 85-94

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The weighted Hardy spaces $e_p(\mathscr{B};\rho)$ of harmonic functions are introduced on simply connected domains $\mathscr{B}$ 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 $e_p(\mathscr{B};\rho)$ are studied. 
@article{EMJ_2018_9_3_a6,
     author = {V. I. Vlasov},
     title = {Hardy spaces, approximation issues and boundary value problems},
     journal = {Eurasian mathematical journal},
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     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_3_a6/}
}
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V. I. Vlasov. Hardy spaces, approximation issues and boundary value problems. Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 85-94. http://geodesic.mathdoc.fr/item/EMJ_2018_9_3_a6/