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growth and two-point distortion properties for linearly invariant families of locally biholomorphic mappings
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نویسنده
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farrokhi helaleh ,ebadian ali ,abolfathi mohammad ali
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منبع
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measure algebras and applications - 2025 - دوره : 3 - شماره : 2 - صفحه:24 -36
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چکیده
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this paper establishes lower growth and two-point distortion bounds for linearly invariant families (l.i.f.s) of locally biholomorphic mappings within the unit ball $b^{n}$ in $mathbb{c}^{n}$. we also present lower growth bounds and two-point distortion bounds for affine and linearly invariant families (a.l.i.f.s) of pluriharmonic mappings from the unit ball $b^{n}$ to $mathbb{c}^{n}$. these results build upon recent findings by pfaltzgraff and suffridge, graham, kohr and pfaltzgraff, duren, hamada, and kohr with an additional condition of quasiregularity on the mappings.
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کلیدواژه
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affine invariance ,linear invariance ,two-point distortion ,pluriharmonic mapping ,quasiregular mapping
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آدرس
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urmia university, faculty of science, department of mathematics, iran. , urmia university, faculty of science, department of mathematics, iran. , urmia university, faculty of science, department of mathematics, iran.
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پست الکترونیکی
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m.abolfathi@urmia.ac.ir
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Authors
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