Nontangential Limits of Poisson Integrals Associated to Dunkl Operators for Dihedral Groups | Zendy

Florence Scalas | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Nontangential Limits of Poisson Integrals Associated to Dunkl Operators for Dihedral Groups

Author(s) -

Florence Scalas

Publication year - 2007

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1330

Subject(s) - dihedral group , dihedral angle , poisson distribution , mathematics , pure mathematics , chemistry , group (periodic table) , statistics , molecule , organic chemistry , hydrogen bond

In this paper we study the differentiation and maximal functions of complex Borel measures on the unit circle of C with respect to the measures associated to Dunkl differential-difference operators for dihedral groups. We prove that the Poisson integrals corresponding to these differential-difference operators have nontangential limits almost everywhere. Our approach relies on the proof of the doubling condition to obtain an appropriate covering lemma.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research