Local one-sided maximal function on fractional Sobolev spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولComposition in Fractional Sobolev Spaces
1. Introduction. A classical result about composition in Sobolev spaces asserts that if u ∈ W k,p (Ω)∩L ∞ (Ω) and Φ ∈ C k (R), then Φ • u ∈ W k,p (Ω). Here Ω denotes a smooth bounded domain in R N , k ≥ 1 is an integer and 1 ≤ p < ∞. This result was first proved in [13] with the help of the Gagliardo-Nirenberg inequality [14]. In particular if u ∈ W k,p (Ω) with kp > N and Φ ∈ C k (R) then Φ • ...
متن کاملNorm Inequalities Relating One-sided Singular Integrals and the One-sided Maximal Function
In this paper we prove that if a weight w satisfies the C q condition, then the Lp(w) norm of a one-sided singular integral is bounded by the Lp(w) norm of the one-sided Hardy-Littlewood maximal function, for 1 < p < q <∞.
متن کاملOn some questions of topology for -valued fractional Sobolev spaces
"&('*),+/.0 1 )213&4 a.e. 576 Our main results assert that is path-connected if 8!" :9 while it has the same homotopy classes as ;=<> *? @ if 8!BA 9 . We also present some results and open problems about density of smooth maps in C D E? F . Sobre algunas cuestiones topológicas para espacios de Sobolev fracionarios con valores en GIH Resumen. El propósito de este artı́culo es describir las clase...
متن کاملTwo weight norm inequalities for fractional one-sided maximal and integral operators
In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: Z +∞ −∞ M α (f)(x) w(x) dx ≤ Ap Z +∞ −∞ |f(x)|M αp(w)(x) dx, where 0 < α < 1 and 1 < p < 1/α. We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral I α .
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: Mathematical Inequalities & Applications
سال: 2019
ISSN: 1331-4343
DOI: 10.7153/mia-2019-22-36