TY - JOUR AU - María J. Carro, Joaquim Martín AB - Given f =∑ n ∈N f n , where {f n } n are measurable functions, we show that f * (3 t )≤∑ n ( f n * ( t ) +1/ t ∫ c n t t f n * ( s ) ds ), where {c n } n ∈N are positive numbers such that ∑ n c n =1. Several consequences in the setting of weighted Lorentz spaces are also given. Received 12 October 2001. Copyright Oxford University Press 2004 « Previous | Next Article » Table of Contents This Article Q J Math (2004) 55 (1): 41-45. doi: 10.1093/qmath/hag032 » Abstract Free Full Text (PDF) Free Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Request Permissions Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Carro, M. J. Articles by Martín, J. Search for related content Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue September 2015 66 (3) Alert me to new issues The Journal About this journal Rights & Permissions Dispatch date of the next issue We are mobile – find out more Journals Career Network Impact factor: 0.640 5-Yr impact factor: 0.524 Editors A. S. Dancer R. Heath-Brown View full editorial board For Authors Instructions to authors self-archiving policy Open access options for authors - visit Oxford Open Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services Advertising sales Reprints Supplements var taxonomies = ("SCI01790"); Most Most Read STRICTLY CONTINUOUS EXTENSION OF FUNCTIONALS WITH LINEAR GROWTH TO THE SPACE BV K-THEORY AND THE HOPF INVARIANT SQUARE-FREE VALUES OF POLYNOMIALS EVALUATED AT PRIMES OVER A FUNCTION FIELD INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS » View all Most Read articles Most Cited ASSOCIATED STURM-LIOUVILLE SYSTEMS Generalized Calabi-Yau Manifolds Integer points on the dilation of a subanalytic surface ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD » View all Most Cited articles Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department. Online ISSN 1464-3847 - Print ISSN 0033-5606 Copyright © 2015 Oxford University Press Oxford Journals Oxford University Press Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions Other Oxford University Press sites: Oxford University Press Oxford Journals China Oxford Journals Japan Academic & Professional books Children's & Schools Books Dictionaries & Reference Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks International Education Unit Law Medicine Music Online Products & Publishing Oxford Bibliographies Online Oxford Dictionaries Online Oxford English Dictionary Oxford Language Dictionaries Online Oxford Scholarship Online Reference Rights and Permissions Resources for Retailers & Wholesalers Resources for the Healthcare Industry Very Short Introductions World's Classics function fnc_onDomLoaded() { var query_context = getQueryContext(); PF_initOIUnderbar(query_context,":QS:default","","JRN"); PF_insertOIUnderbar(0); }; if (window.addEventListener) { window.addEventListener('load', fnc_onDomLoaded, false); } else if (window.attachEvent) { window.attachEvent('onload', fnc_onDomLoaded); } var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); try { var pageTracker = _gat._getTracker("UA-189672-16"); pageTracker._setDomainName(".oxfordjournals.org"); pageTracker._trackPageview(); } catch(err) {} TI - A useful estimate for the decreasing rearrangement of the sum of functions JF - The Quarterly Journal of Mathematics DO - 10.1093/qmath/hag032 DA - 2004-03-01 UR - https://www.deepdyve.com/lp/oxford-university-press/a-useful-estimate-for-the-decreasing-rearrangement-of-the-sum-of-5b2kfPrGSO SP - 41 VL - 55 IS - 1 DP - DeepDyve ER -