Sobolev functions on closed subsets of the real line

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On sequentially closed subsets of the real line in ZF

(i) CAC iff every countable product of sequential metric spaces (sequentially closed subsets are closed) is a sequential metric space iff every complete metric space is Cantor complete. (ii) Every infinite subset X of R has a countably infinite subset iff every infinite sequentially closed subset of R includes an infinite closed subset. (iii) The statement “R is sequential” is equivalent to eac...

متن کامل

Wavelets on Closed Subsets of the Real Line

We construct orthogonal and biorthogonal wavelets on a given closed subset of the real line. We also study wavelets satisfying certain types of boundary conditions. We introduce the concept of \wavelet prob-ing", which is closely related to our construction of wavelets. This technique allows us to very quickly perform a number of diierent numerical tasks associated with wavelets. x1. Introducti...

متن کامل

Sobolev W 1 p-spaces on closed subsets of Rn

For each p > n we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space W 1 p (R n) to an arbitrary closed subset of Rn.

متن کامل

On Approximation of Continuous Functions by Entire Functions of Exponential Type on Subsets of the Real Line

We generalize the classical Bernstein theorem concerning the constructive description of classes of functions uniformly continuous on the real line. The approximation of continuous bounded functions by entire functions of exponential type on unbounded closed proper subsets of the real line is studded.

متن کامل

Homogeneous subsets of the real line

If A C R then A is homogeneous provided that A + Q = A. As an application we give an elementary proof of Menu’s theorem that the real line can be decomposed in two homogeneous homeomorphic subsets. We also show that such a decomposition is not topologically unique. There are homogeneous A, B C R with A RBA, B ~ RBB but A B.

متن کامل

ذخیره 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: Journal of Approximation Theory

سال: 2020

ISSN: 0021-9045

DOI: 10.1016/j.jat.2019.105327