Erratum to: “Orlicz norm and Sobolev-Orlicz capacity on ends of tree based on probabilistic Bessel kernels”
نویسندگان
چکیده
منابع مشابه
An inequality in Orlicz function spaces with Orlicz norm
We use Simonenko quantitative indices of an N -function Φ to estimate two parameters qΦ and QΦ in Orlicz function spaces L [0,∞) with Orlicz norm, and get the following inequality: BΦ BΦ−1 ≤ qΦ ≤ QΦ ≤ AΦ Aφ−1 , where AΦ and BΦ are Simonenko indices. A similar inequality is obtained in L[0, 1] with Orlicz norm.
متن کاملOn the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function φ generating the space. 2000 Mathematics Subject Classification: 46B20, 42A75.
متن کاملOn the uniformly normal structure of Orlicz spaces with Orlicz norm*
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
متن کاملAmemiya Norm Equals Orlicz Norm in General*
We present a proof that in Orlicz spaces the Amemiya norm and the Orlicz norm coincide for any Orlicz function ‘p. This gives the answer for an open problem. We also give a description of the Amemiya type for the Mazur-Orlicz F-norm.
متن کاملOn the Sharpness of the Orlicz - Sobolev Imbedding Theorem ∗
The sharpness of the classical first order Orlicz Sobolev imbedding theorem is discussed in the case in which the Orlicz function increases essentially more slowly than a power function
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ژورنال
عنوان ژورنال: P-Adic Numbers, Ultrametric Analysis, and Applications
سال: 2016
ISSN: 2070-0466,2070-0474
DOI: 10.1134/s2070046616010076