A framework for fractional Hardy inequalities

By Bartłomiej Dyda, Antti V. Vahakangas. 2013

50 citations recorded by the source corpus.

We provide a general framework for fractional Hardy inequalities. Our framework covers, for instance, fractional inequalities related to the Dirichlet forms of some L\'evy processes, and weighted fractional inequalities on irregular open sets.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9607435adff3e7df359cb70ad398e6392c09f4cc

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In Applied Mathematics

1. Antti V. Vahakangas
2. L. Ihnatsyeva
3. Bartłomiej Dyda
4. Heli Tuominen
5. Juha Lehrbäck
6. Yuan Zhou
7. Rupert L. Frank
8. Jonathan M. Fraser

In Numerical Analysis

1. L. Ihnatsyeva
2. Bartłomiej Dyda
3. Heli Tuominen

Citations in the corpus

• Muckenhoupt Ap-properties of Distance Functions and Applications to Hardy–Sobolev -type Inequalities (2017, background): “We refer to [25] and [23] for recent results related to Hardy–Sobolev -inequalities in R and Hardy inequalities in metric spaces, respectively, and to [9, 19] and [8] for fractional counterparts of such inequalities, respectively.”