Boundedness of Multidimensional Dunkl-Hausdorff Operators

Joint Authors

Daher, Radouan
Saadi, Faouaz

Source

Journal of Function Spaces

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-04-10

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators.

We also determine the Dunkl-Hausdorff operator ℋκ∗ that is adjoint to ℋκ.

American Psychological Association (APA)

Daher, Radouan& Saadi, Faouaz. 2020. Boundedness of Multidimensional Dunkl-Hausdorff Operators. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1185167

Modern Language Association (MLA)

Daher, Radouan& Saadi, Faouaz. Boundedness of Multidimensional Dunkl-Hausdorff Operators. Journal of Function Spaces No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1185167

American Medical Association (AMA)

Daher, Radouan& Saadi, Faouaz. Boundedness of Multidimensional Dunkl-Hausdorff Operators. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1185167

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185167