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Spherical Means and Weighted Inequalities
Author(s) -
Duoandikoetxea Javier,
Vega Luis
Publication year - 1996
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/53.2.343
Subject(s) - mathematics , factorization , inequality , maximal operator , operator (biology) , power (physics) , pure mathematics , point (geometry) , combinatorics , discrete mathematics , mathematical analysis , algorithm , geometry , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , bounded function , gene
We prove weighted inequalities for the spherical maximal operator and its dyadic version. For the latter we give a factorization theorem and a full description of the power weights. In the continuous parameter case we prove the result for power weights up to an end‐point result.