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Generalized Bessel and Riesz Potentials on Metric Measure Spaces

✍ Scribed by J. Hu; M. Zähle


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
492 KB
Volume
30
Category
Article
ISSN
0926-2601

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## Abstract We introduce generalizations of Bessel potentials by considering operators of the form __φ__[(__I__ – Δ)^–½^] where the functions __φ__ extend the classical power case. The kernel of such an operator is subordinate to a growth function __η__. We explore conditions on __η__ in such a way

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✍ Jun-iti Nagata 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 456 KB 👁 1 views

The purpose of this note is to give some remarks and questions on metrizability and generalized metric spaces.