Published January 1, 2013 | Version v1
Publication Open

Optimal Regularity Properties of the Generalized Sobolev Spaces

  • 1. Government College University, Lahore
  • 2. Institute of Mathematics and Informatics
  • 3. Bulgarian Academy of Sciences

Description

We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .

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

Translated Description (Arabic)

نثبت التضمينات المثلى لمساحات Sobolev المعممة ، حيث توجد مساحة وظيفية ثابتة لإعادة الترتيب، في مساحة Hölder - Zygmund المعممة الناتجة عن مساحة وظيفية .

Translated Description (French)

Nous démontrons des plongements optimaux des espaces de Sobolev généralisés , où est un espace de fonction invariant de réarrangement, dans l'espace de Hölder-Zygmund généralisé généré par un espace de fonction .

Translated Description (Spanish)

Demostramos incrustaciones óptimas de los espacios de Sobolev generalizados , donde es un espacio de función invariante de reordenamiento, en el espacio de Hölder-Zygmund generalizado generado por un espacio de función .

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Additional details

Additional titles

Translated title (Arabic)
خصائص الانتظام الأمثل لمساحات سوبوليف المعممة
Translated title (French)
Propriétés de régularité optimales des espaces de Sobolev généralisés
Translated title (Spanish)
Propiedades de Regularidad Óptima de los Espacios Generalizados Sobolev

Identifiers

Other
https://openalex.org/W2035772701
DOI
10.1155/2013/761648

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

References

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