Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poletsky-Stessin Hardy Spaces on Complex Ellipsoids in C^n   We study Poletsky-Stessin Hardy spaces on complex ellipsoids in C^n.
Different from one variable case, classical Hardy spaces are strictly contained
in Poletsky-Stessin Hardy spaces on complex ellipsoids so boundary values are
not automatically obtained in this case. We have showed that functions
belonging to Poletsky-Stessin Hardy spaces have boundary values and they can be
approached through admissible approach regions in the complex ellipsoid case.
Moreover, we have obtained that polynomials are dense in these spaces. We also
considered the composition operators acting on Poletsky-Stessin Hardy spaces on
complex ellipsoids and gave conditions for their boundedness and compactness.

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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con