Carleson Measure of Harmonic Schwarzian Derivatives Associated with a Finitely Generated Fuchsian Group of the Second Kind | Zendy

Guangming Hu | Zendy; Yutong Liu | Zendy; Yu Sun | Zendy; Xinjie Qian | Zendy

Open Access

Carleson Measure of Harmonic Schwarzian Derivatives Associated with a Finitely Generated Fuchsian Group of the Second Kind

Author(s) -

Guangming Hu,

Yutong Liu,

Yu Sun,

Xinjie Qian

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/5523454

Subject(s) - measure (data warehouse) , group (periodic table) , fuchsian group , pure mathematics , mathematics , schwarzian derivative , kleinian group , harmonic , finitely generated abelian group , computer science , physics , quantum mechanics , database

Let S H f be the Schwarzian derivative of a univalent harmonic function f in the unit disk D , compatible with a finitely generated Fuchsian group G of the second kind. We show that if S H f 2 1 − z 2 3 d x d y satisfies the Carleson condition on the infinite boundary of the Dirichlet fundamental domain F of G , then S H f 2 1 − z 2 3 d x d y is a Carleson measure in D .

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