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A note on the equivalences between the averages and the -functionals related to the Laplacian

✍ Scribed by Feng Dai; Kunyang Wang


Book ID
108158951
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
179 KB
Volume
130
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES


Averages andK-Functionals Related to the
✍ Z Ditzian; K Runovskii πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 190 KB

For R d or T d , averages on balls and spheres are shown to satisfy an equivalence relation with K-functionals that are generated by the Laplacian. The converse result is given in terms of strong converse inequality of type A and type D for the averages on the Ball and on the sphere, respectively. C