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A New Approach to Rearrangements of Maximal Operators
Author(s) -
Lerner Andrei K.
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004698
Subject(s) - mathematics , mathematical proof , simple (philosophy) , subject (documents) , mathematics subject classification , algebra over a field , inequality , pure mathematics , calculus (dental) , discrete mathematics , mathematical analysis , computer science , epistemology , geometry , medicine , philosophy , dentistry , library science
A general, albeit simple, approach to obtaining rearrangement inequalities of maximal operators is given. Being applied to specific operators it leads not only to new proofs of well‐known relations in a simpler and shorter way, but also to new, profitable results. 2000 Mathematics Subject Classification 42B25.