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Trudinger's inequality for Riesz potentials of functions in Musielak–Orlicz spaces

✍ Scribed by Ohno, Takao; Shimomura, Tetsu

Book ID
123312002
Publisher
Elsevier Science
Year
2014
Tongue
French
Weight
212 KB
Volume
138
Category
Article
ISSN
0007-4497

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Capacity for potentials of functions in
Capacity for potentials of functions in Musielak–Orlicz spaces
✍ Fumi-Yuki Maeda; Yoshihiro Mizuta; Takao Ohno; Tetsu Shimomura 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 276 KB

We define a capacity for potentials of functions in Musielak-Orlicz spaces. Basic properties of such capacity are studied. We also estimate the capacity of balls and give some applications of the estimates.