$\boldsymbol {L^{p}}$ REGULARITY OF THE SZEGÖ PROJECTION ON THE SYMMETRISED POLYDISC. Issue 3 (12th December 2022)

• Record Type: Journal Article
• Authors: HAN, KAIKAI; TANG, YANYAN
• Is Part Of: Bulletin of the Australian Mathematical Society. Volume 106:Issue 3(2022)
• Page Start: 481
• Page End: 490
• Publication Date: 2022-12-12
• Subjects: 32A36 -- 32A25 -- 42B30; Lp-regularity -- symmetrised polydisc -- Szegö projection; Mathematics -- Societies, etc; Mathematics -- Periodicals; 510.5
• DOI: 10.1017/S0004972722000466
• Languages: English
• ISSNs: 0004-9727

Abstract

Abstract: We consider the $L^{p}$ -regularity of the Szegö projection on the symmetrised polydisc $\mathbb {G}_{n}$ . In the setting of the Hardy space corresponding to the distinguished boundary of the symmetrised polydisc, it is shown that this operator is $L^{p}$ -bounded for $p\in (2-{1}/{n}, 2+{1}/{(n-1)})$ .