Hardy type inequalities in L p $L^{p}$ with sharp remainders
نویسندگان
چکیده
منابع مشابه
Hardy and Rellich Inequalities with Remainders
In this paper our primary concern is with the establishment of weighted Hardy inequalities in L(Ω) and Rellich inequalities in L(Ω) depending upon the distance to the boundary of domains Ω ⊂ R with a finite diameter D(Ω). Improved constants are presented in most cases.
متن کاملHardy type inequalities in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L^{p}$\end{document}Lp with sharp remainders
*Correspondence: [email protected] 2Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, Osaka, 560-8531, Japan Full list of author information is available at the end of the article Abstract Sharp remainder terms are explicitly given on the standard Hardy inequalities in Lp(Rn) with 1 < p < n. Those remainder terms provide a direct and exa...
متن کاملSHARP AFFINE Lp SOBOLEV INEQUALITIES
In this paper we prove a sharp affine Lp Sobolev inequality for functions on R. The new inequality is significantly stronger than (and directly implies) the classical sharp Lp Sobolev inequality of Aubin [A2] and Talenti [T], even though it uses only the vector space structure and standard Lebesgue measure on R. For the new inequality, no inner product, norm, or conformal structure is needed at...
متن کاملGeneral Hardy-Type Inequalities with Non-conjugate Exponents
We derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. First, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. ...
متن کاملHARDY–HILBERT’S TYPE INEQUALITIES FOR (p, q)-Hö(0,∞) FUNCTIONS
New inequalities concerning functions of the form f (xy) similar to Hardy-Hilbert’s integral inequality are presented. A new class of functions denoted by (p, q)−-Hö(I) is defined. Many other new inequalities are also given.
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: Journal of Inequalities and Applications
سال: 2017
ISSN: 1029-242X
DOI: 10.1186/s13660-016-1271-1