Abstract
AbstractWe find a necessary and sufficient condition for the boundedness of an m-linear integral-type operator between weighted-type spaces of functions, and calculate norm of the operator, complementing some results by L. Grafakos and his collaborators. We also present an inequality which explains a detail in the proof of the boundedness of the linear integral-type operator on $L^{p}({\mathbb {R}}^{n})$
L
p
(
R
n
)
space.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference37 articles.
1. Higher Mathematics Series;W. Rudin,1976
2. Avetisyan, K.: Hardy Bloch-type spaces and lacunary series on the polydisk. Glasg. Math. J. 49, 345–356 (2007)
3. Bierstedt, K.D., Summers, W.H.: Biduals of weighted Banach spaces of analytic functions. J. Aust. Math. Soc. Ser. A 54(1), 70–79 (1993)
4. Stević, S.: Norm of weighted composition operators from Bloch space to $H^{\infty }_{\mu }$ on the unit ball. Ars Comb. 88, 125–127 (2008)
5. Stević, S.: Norm and essential norm of composition followed by differentiation from α-Bloch spaces to $H^{\infty }_{\mu }$. Appl. Math. Comput. 207, 225–229 (2009)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献