Published April 10, 2020 | Version v1
Publication Metadata-only

Boundedness of Multidimensional Dunkl-Hausdorff Operators

Creators

  • 1. University of Hassan II Casablanca

Description

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.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، نقدم مشغل Dunkl - Hausdorff متعدد الأبعاد، ونعطي شروطًا بسيطة كافية بحيث يكون هؤلاء المشغلون مقيدين بمساحات lebesgue المرجحة Lκp ؟ n وفي مساحة Hardy Hκ1 ؟ n المرتبطة بمشغلي Dunkl. نحدد أيضًا مشغل Dunkl -Hausdorff الذي يكون مساعدًا لـ.

Translated Description (French)

Dans le présent article, nous introduisons l'opérateur multidimensionnel de Dunkl-Hausdorff et nous donnons des conditions suffisantes simples pour que ces opérateurs soient bornés sur les espaces de lebesgue pondérés Lκp‹n et dans l'espace de Hardy Hκ1‹n associé aux opérateurs de Dunkl. Nous déterminons également l'opérateur de Dunkl-Hausdorff qui est adjoint à l'opérateur deDunkl-Hausdorff.

Translated Description (Spanish)

En el presente documento, presentamos el operador multidimensional de Dunkl-Hausdorff y damos condiciones simples suficientes para que estos operadores estén limitados en los espacios de Lebesgue ponderados Lκp n y en el espacio de Hardy Hκ1n asociado con los operadores de Dunkl. También determinamos el operador deDunkl-Hausdorff que es contiguo a.

Additional details

Additional titles

Translated title (Arabic)
حدود مشغلي Dunkl - Hausdorff متعددي الأبعاد
Translated title (French)
Limites des opérateurs multidimensionnels de Dunkl-Hausdorff
Translated title (Spanish)
Limitación de los operadores multidimensionales de Dunkl-Hausdorff

Identifiers

Other
https://openalex.org/W3016176306
DOI
10.1155/2020/1071746

Is supplement to
https://openalex.org/W2748952813 (Other)
https://openalex.org/W2478288626 (Other)
https://openalex.org/W2390279801 (Other)
https://openalex.org/W2382290278 (Other)
https://openalex.org/W2376932109 (Other)
https://openalex.org/W2358668433 (Other)
https://openalex.org/W2350741829 (Other)
https://openalex.org/W2073681303 (Other)
https://openalex.org/W2051487156 (Other)
https://openalex.org/W2001405890 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Morocco

References

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