The purpose of this paper is twofold. We first establish a sharp version of Forelli–Rudin
estimates for certain integrals on the ball. Then, as main application of these estimates, we …

SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL Page 1 Glasgow
Math. J. 60 (2018) 219–224. C Glasgow Mathematical Journal Trust 2017. doi:10.1017/S0017089517000052 …

BLOCH SPACE AND THE NORM OF THE BERGMAN PROJECTION Page 1 Annales
Academiæ Scientiarum Fennicæ Mathematica Volumen 38, 2013, 849–853 BLOCH SPACE …

We obtain several estimates for the L^ p L p operator norms of the Bergman and Cauchy–
Szegö projections over the the Siegel upper half-space. As a by-product, we also determine …

We consider the weighted Bergman projection Pα: L∞(𝔹)→ 𝓑 where α>–1 and 𝓑 is the
Bloch space of the unit ball 𝔹 of the complex space ℂn. We obtain the exact norm of the …

Abstract Motivated by the Forelli–Rudin projection theorem we give in this paper a criteria for
boundedness of an integral operator on Lebesgue spaces in the interval (0, 1). We also give …

Let P+ be the Riesz's projection operator and let P−= I− P+. We consider estimates of the
expression∥(| P+ f| s+| P− f| s) 1 s∥ L p (T) in terms of Lebesgue p-norm of the function f∈ L …

We obtain new two-sided norm estimates for the family of Bergman-type projections arising
from the standard weights (1−| z| 2) α where α>− 1. As α→− 1, the lower bound is sharp in …

In this paper we obtain an estimate of the norm of the Bergman projection from L p (D, d λ)
onto the Besov space B p, 1< p<+∞. The result is asymptotically sharp when p→+∞. Further …

The boundedness and the norm of a class of integral operators T a, b, c on L p Λ spaces are
studied in this paper. The author not only gives the sufficient and necessary condition for the …