Almost contractive retractions in Orlicz spaces
نویسندگان
چکیده
منابع مشابه
Polyhedrality in Orlicz Spaces
We present a construction of an Orlicz space admitting a C∞-smooth bump which depends locally on finitely many coordinates, and which is not isomorphic to a subspace of any C(K), K scattered. In view of the related results this space is possibly not isomorphic to a polyhedral space.
متن کاملFractional Integration in Orlicz Spaces
Fractional integration and convolution results are given for Orlicz spaces using an inequality earlier developed for Aa(X~) spaces which generalize Lorentz L(p,q) spaces. The extension problem for convolution operators encountered previously by other authors is almost entirely avoided.
متن کاملComposition Operators in Orlicz Spaces
Composition operators C− between Orlicz spaces L.;6;1⁄4/ generated by measurable and nonsingular transformations − from into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping − , the function ' and the measure space .;6;1⁄4/. These results generalize earlier results known for L p-spaces....
متن کاملKorn Inequalities In Orlicz Spaces
We use gradient estimates for solutions of elliptic equations to obtain Korn’s inequality for fields with zero trace from Orlicz–Sobolev classes. As outlined for example in the monographs of Málek, Nečas, Rokyta, Růžička [MNRR], of Duvaut and Lions [DL] and of Zeidler [Ze], the well-posedness of many variational problems arising in fluid mechanics or in the mechanics of solids heavily depends o...
متن کاملAnalytic Norms in Orlicz Spaces
It is shown that an Orlicz sequence space hM admits an equivalent analytic renorming if and only if it is either isomorphic to l2n or isomorphically polyhedral. As a consequence, we show that there exists a separable Banach space admitting an equivalent C∞-Fréchet norm, but no equivalent analytic norm. In this note, we denote by hM as usual the subspace of an Orlicz sequence space lM generated ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700037771