Results 91 to 100 of about 400,575 (187)

Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces

open access: yesJournal of Function Spaces and Applications, 2012
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj   +1 more source

Boundedness of composition operator in Orlicz-Morrey spaces [PDF]

open access: yesarXiv
In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces.
arxiv  

Compact composition operators on Hardy-Orlicz and weighted Bergman-Orlicz spaces on the ball [PDF]

open access: yesarXiv, 2011
Using recent characterizations of the compactness of composition operators on Hardy-Orlicz and Bergman-Orlicz spaces on the ball, we first show that a composition operator which is compact on every Hardy-Orlicz (or Bergman-Orlicz) space has to be compact on H^{\infty}.
arxiv  

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

open access: yesJournal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj  

Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane [PDF]

open access: yesarXiv
In this work, we propose an atomic decomposition of the Bergman-Orlicz spaces on the complex upper half-plane. Using this result, we characterize Carleson embeddings with loss between Bergman-Orlicz spaces and certain Orlicz spaces. We also leverage this last result to control the composition operator between two Bergman-Orlicz spaces.
arxiv  

Pointwise multipliers of Orlicz function spaces and factorization [PDF]

open access: yesarXiv, 2016
In the paper we find representation of the space of pointwise multipliers between two Orlicz function spaces, which appears to be another Orlicz space and the formula for the Young function generating this space is given. Further, we apply this result to find necessary and suffcient conditions for factorization of Orlicz function spaces.
arxiv  

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