Adimensional weighted Sobolev inequalities in PI spaces
نویسندگان
چکیده
We provide a family of global weighted Sobolev inequalities and Hardy on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular like Laakso Kleiner-Schioppa spaces.
منابع مشابه
Interpolation Inequalities in Weighted Sobolev Spaces
In this paper we prove some interpolation inequalities between functions and their derivatives in the class of weighted Sobolev spaces defined on unbounded open subset Ω ⊂ Rn .
متن کاملThe Kawahara equation in weighted Sobolev spaces
Abstract The initialand boundary-value problem for the Kawahara equation, a fifthorder KdV type equation, is studied in weighted Sobolev spaces. This functional framework is based on the dual-Petrov–Galerkin algorithm, a numerical method proposed by Shen (2003 SIAM J. Numer. Anal. 41 1595–619) to solve third and higher odd-order partial differential equations. The theory presented here includes...
متن کاملCharacterizations of Sobolev Inequalities on Metric Spaces
We present isocapacitary characterizations of Sobolev inequalities in very general metric measure spaces.
متن کاملPoincaré–type Inequalities for Broken Sobolev Spaces
We present two versions of general Poincaré–type inequalities for functions in broken Sobolev spaces, providing bounds for the Lq–norm of a function in terms of its broken H1–norm.
متن کاملOn weighted critical imbeddings of Sobolev spaces
Our concern in this paper lies with two aspects of weighted exponential spaces connected with their role of target spaces for critical imbeddings of Sobolev spaces. We characterize weights which do not change an exponential space up to equivalence of norms. Specifically, we first prove that Lexp tα(χB) = Lexp tα(ρ) if and only if ρq ∈ Lq with some q > 1. Second, we consider the Sobolev space W ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Fennici Mathematici
سال: 2022
ISSN: ['2737-0690', '2737-114X']
DOI: https://doi.org/10.54330/afm.113840