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Beschreibung
In this book, we explore the [Lp, Lq]-boundedness of certain integral operators on weighted spaces on cones in Rn. These integral operators are of the type ¿V k(x, y)f(y)dy defined on a homogeneous cone V. The results of this dissertation are then applied to an important class of operators such as Riemann-Liouville¿s fractional integral operators, Weyl¿s fractional integral operators and Laplace¿s operators. As special cases of the above, we obtain an Rn-generalization of the celebrated Hardy¿s inequality on domains of positivity. We also prove dual results.
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 20. Juli 2022 |
| Maße | 22 cm x 15 cm x 0.4 cm |
| Gewicht | 96 Gramm |
| Format | Softcover |
| ISBN-13 | 9786205488409 |
| Seiten | 52 |
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