Sharp bounds for Hardy type operators on higher-dimensional product spaces

By Shan-zhen Lu, Dunyan Yan, Fayou Zhao. 2013

50 citations recorded by the source corpus.

A new class of Hardy type operator defined on a higher-dimensional product space is discussed. It includes two different kinds of the classical Hardy operators. In addition, we also consider the fractional Hardy operator Hβ. The bound of operator Hβ from Lp to Lq is explicitly worked out. Especially, the bound of operator Hβ from L1 to Lnn−β,∞ is sharp.MSC:26D10, 26D15, 42B99.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b83ab5997084f47c5d56b989f8567cf4a86b2edc

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In Applied Mathematics

1. Dashan Fan
2. Si-lei Wang
3. Jiecheng Chen

In Mathematical Physics

1. Jiecheng Chen
2. Dashan Fan

Citations in the corpus

• Hausdorff operators on Euclidean spaces (2013, background): “For instance, the reader can see [9,14-18,24,42,53], among numerous references.”