Multiplicativity Factors for Orlicz Space Function Norms
β Scribed by R. Arens; M. Goldberg; W.A.J. Luxemburg
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 598 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract Let __M__ be the classical HardyβLittlewood maximal operator. The object of our investigation in this paper is the iterated maximal function __M__^__k__^__f__(__x__) = __M__(__M__^__kβ1__^__f__) (__x__) (__k__ β₯ 2). Let Ξ¦ be a __Ο__βfunction which is not necessarily convex and Ξ¨ be a Yo
## Abstract We investigate the spaces of functions on β^__n__^ for which the generalized partial derivatives __D____~k~f__ exist and belong to different Lorentz spaces __L__ . For the functions in these spaces, the sharp estimates of the Besov type norms are found. The methods used in the paper are
Anisotropic Spaces. 11. (Equivalent Norms for Abstract Spaces, Function Spaces with Weights of SOBOLEV-BESOV type) By HANS-JURGEN SCHMEISSER (Jena) (Eingegangen am 30.5. 1975) This paper is the continuation of [7].