Admissible function spaces for weighted Sobolev inequalities

  title={Admissible function spaces for weighted Sobolev inequalities},
  author={T.V. Anoop and Nirjan Biswas and Ujjal Das},
  journal={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 



Imbedding theorems of Sobolev type in potential theory.


. A pre-topological space equipped with an order is called an ordered pre- topological space. These spaces form the objects of a category which will be denoted by OVPT . The arrows of this category

Two-weight norm inequalities for product fractional integral operators

Geometric Hardy's inequalities with general distance functions

Factorizations and Hardy’s type identities and inequalities on upper half spaces

  • N. LamG. LuLu Zhang
  • Materials Science
    Calculus of Variations and Partial Differential Equations
  • 2019
Motivated and inspired by the improved Hardy inequalities studied in their well-known works by Brezis and Vázquez (Rev Mat Univ Complut Madrid 10:443–469, 1997) and Brezis and Marcus (Ann Scuola Norm


. Here we study the roots of the doubly infinite family of Jensen polynomials J d,n PL ( x ) associated to MacMahon’s plane partition function PL( n ) . Recently, Ono, Pujahari, and Rolen [1] proved

L – P

usługi podstawowe nieuciążliwe 30,29 1 parter, prawa oficyna inst. elektryczna, wod.-kan., w.c., wodomierz c.w. i z.w., c.o., inst. gazowa (bez osprzętu) wspólnota mieszkaniowa Lokal w dobrym stanie

The compactness and the concentration compactness via p-capacity

For p∈(1,N)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}