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- W3136267627 abstract "Let <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mtext>H</mtext> </mrow> </msub> <mfenced open=( close=)> <mrow> <mi>f</mi> </mrow> </mfenced> </math> be the Schwarzian derivative of a univalent harmonic function <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi>f</mi> </math> in the unit disk <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mi mathvariant=double-struck>D</mi> </math> , compatible with a finitely generated Fuchsian group <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi>G</mi> </math> of the second kind. We show that if <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <msup> <mrow> <mfenced open=| close=|> <mrow> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mtext>H</mtext> </mrow> </msub> <mfenced open=( close=)> <mrow> <mi>f</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <msup> <mrow> <mfenced open=( close=)> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mrow> <mfenced open=| close=|> <mrow> <mi>z</mi> </mrow> </mfenced> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </mfenced> </mrow> <mrow> <mn>3</mn> </mrow> </msup> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </math> satisfies the Carleson condition on the infinite boundary of the Dirichlet fundamental domain <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mi mathvariant=script>F</mi> </math> of <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <mi>G</mi> </math> , then <math xmlns=http://www.w3.org/1998/Math/MathML id=M8> <msup> <mrow> <mfenced open=| close=|> <mrow> <msub> <mrow> <mi>S</mi> </mrow> <mrow> <mtext>H</mtext> </mrow> </msub> <mfenced open=( close=)> <mrow> <mi>f</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <msup> <mrow> <mfenced open=( close=)> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mrow> <mfenced open=| close=|> <mrow> <mi>z</mi> </mrow> </mfenced> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </mfenced> </mrow> <mrow> <mn>3</mn> </mrow> </msup> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </math> is a Carleson measure in <math xmlns=http://www.w3.org/1998/Math/MathML id=M9> <mi mathvariant=double-struck>D</mi> </math> ." @default.
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- W3136267627 date "2021-03-20" @default.
- W3136267627 modified "2023-10-18" @default.
- W3136267627 title "Carleson Measure of Harmonic Schwarzian Derivatives Associated with a Finitely Generated Fuchsian Group of the Second Kind" @default.
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- W3136267627 doi "https://doi.org/10.1155/2021/5523454" @default.
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