TY - JOUR

T1 - Reverse Carleson Measures for Hardy Spaces in the Unit Ball

AU - Dubtsov, E.S.

N1 - Export Date: 19 October 2024 Адрес для корреспонденции: Dubtsov, E.S.; Department of Mathematics and Computer Science, Russian Federation; эл. почта: dubtsov@pdmi.ras.ru

PY - 2024/9/26

Y1 - 2024/9/26

N2 - Let Hp = Hp(Bd) denote the Hardy space in the open unit ball Bd of Cd, d ≥ 1. We characterize the reverse Carleson measures for Hp, 1 < p < ∞, that is, we describe all finite positive Borel measures μ defined on the closed ball B¯d and such that (Formula presented.) for all f ∈ Hp(Bd) ∩ C(B¯d) and a universal constant c > 0. Given a non-inner holomorphic function b : Bd → B1, we obtain properties of the reverse Carleson measures for the de Branges–Rovnyak space Hb. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

AB - Let Hp = Hp(Bd) denote the Hardy space in the open unit ball Bd of Cd, d ≥ 1. We characterize the reverse Carleson measures for Hp, 1 < p < ∞, that is, we describe all finite positive Borel measures μ defined on the closed ball B¯d and such that (Formula presented.) for all f ∈ Hp(Bd) ∩ C(B¯d) and a universal constant c > 0. Given a non-inner holomorphic function b : Bd → B1, we obtain properties of the reverse Carleson measures for the de Branges–Rovnyak space Hb. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

UR - https://www.mendeley.com/catalogue/7f69a34e-09c6-3c58-a795-61fcfebd6337/

U2 - 10.1007/s10958-024-07388-3

DO - 10.1007/s10958-024-07388-3

M3 - статья

VL - 284

SP - 767

EP - 777

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -