• DOI:10.3934/cpaa.2021105
• Corpus ID: 235185233

Admissible function spaces for weighted Sobolev inequalities

@article{Anoop2020AdmissibleFS,
  title={Admissible function spaces for weighted Sobolev inequalities},
  author={T.V. Anoop and Nirjan Biswas and Ujjal Das},
  journal={Communications on Pure \& Applied Analysis},
  year={2020}
}

• T. Anoop, Nirjan Biswas, Ujjal Das
• Published 8 December 2020
• Mathematics
• Communications on Pure & Applied Analysis

. Let k, N ∈ N with 1 ≤ k ≤ N and let Ω = Ω 1 × Ω 2 be an open set in R k × R N − k . For p ∈ (1 , ∞ ) and q ∈ (0 , ∞ ) , we consider the following weighted Sobolev type inequality: Z