Nikol’skii-type inequalities for entire functions of exponential type on $${\mathbb{R}}^{n}$$ the Lorentz–Zygmund spaces are obtained. Some new limiting cases examined. Application to Besov–type logarithmic smoothness is given.

In this paper, we study the boundedness and compactness of Stević-Sharma operator on Lipschitz space into logarithmic Bloch space. Also, give an estimate for essential norm above operator.

We study several connected problems of holomorphic function spaces on homogeneous Siegel domains. The main object our concerns weighted mixed norm Bergman domains type II. These include: sampling, atomic decomposition, duality, boundary values, boundedness the projectors. Our analysis include Hardy spaces, and suitable generalizations classical Bloch Dirichlet spaces. One novelties in this work...

We give various equivalent formulations to the (partially) open problem about Lboundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is equivalent to the duality identity between Bergman spaces, A ′ = (Ap)∗, and also to a Hardy type inequality related to the wave operator. We introduce analytic Besov spaces in tubes over cones, for which such Hardy inequa...