Abstract
In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel. We also study the boundedness of an integral operator with the aforementioned kernel.
| Original language | English |
|---|---|
| Pages (from-to) | 33-39 |
| Number of pages | 7 |
| Journal | Hacettepe Journal of Mathematics and Statistics |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 |
| Externally published | Yes |
Keywords
- Grand Lebesgue spaces
- Hilbert inequality
- Lebesgue spaces
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Statistics and Probability
- Geometry and Topology