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Gagliardo–Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces

✍ Scribed by Yoshihiro Mizuta; Eiichi Nakai; Yoshihiro Sawano; Tetsu Shimomura

Book ID
111981350
Publisher
Springer
Year
2012
Tongue
English
Weight
209 KB
Volume
98
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

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.