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The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
Author(s) -
Menárguez Trinidad,
Pérez Sonsoles,
Soria Fernando
Publication year - 2000
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/s0024610700008723
Subject(s) - type (biology) , mathematics , function (biology) , maximal function , pure mathematics , geometry , mathematical analysis , ecology , evolutionary biology , biology
The weak type 1 for the Mehler maximal function is studied via a precise estimate for the ‘maximal kernel’. This, in turn, allows the geometry involved in this setting to be described.