We first obtain an optimal norm estimate for one-parameter family of operators associated
with the weighted harmonic Bergman projections on the ball. We then use this result and …

Norm estimation of the harmonic Bergman projection on half-spaces Page 1 c 2009 The
Mathematical Society of Japan J. Math. Soc. Japan Vol. 61, No. 1 (2009) pp. 225–235 doi …

New York Journal of Mathematics A sharp norm estimate for weighted Bergman projections
on the minimal ball Page 1 \centerline{New York \quad Journal \quad of Mathematics } …

We study harmonic Bergman functions on the unit ball B in R n. Among our main results are:
For the Bergman kernel K α (x, y) of the orthogonal projection P α of L 2, α-1 onto the …

THE WEIGHTED BERGMAN PROJECTION AND RELATED THEORY ON THE MINIMAL BALL
G. MENGOTTI1, EH YOUSSFI2 1. Introduction Let B∗ be t Page 1 Bull. Sci. math., 1999, 123 …

Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates
for the Bergman projection and Berezin transform and more general operators in weighted …

On the setting of the unit ball of euclidean n-space, we investigate properties of derivatives
of functions in the harmonic Bergman space and the harmonic Bloch space. Our results are …

On the setting of the upper half-space H of the Euclidean n-space, we show the
boundedness of weighted Bergman projection for 1< p< $\infty $ and nonorthogonal …

We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the
Bergman projection in weighted Bergman spaces. Our main theorem focuses on the …

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 …