Maximal Marcinkiewicz multipliers
نویسندگان
چکیده
منابع مشابه
On the boundedness of the Marcinkiewicz operator on multipliers spaces
Let h(y) be a bounded radial function and Ω (y) an H function on the unit sphere satisfying the cancelation condition. Then the Marcinkiewicz integral operator μΩ related to the Littlewood-Paley g−function is defined by
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Marcinkiewicz multipliers are L bounded for 1 < p < ∞ on the Heisenberg group H ≃ C × R (D. Muller, F. Ricci and E. M. Stein [25], [26]). This is surprising in that this class of multipliers is invariant under a two parameter group of dilations on C × R, while there is no two parameter group of automorphic dilations on H. This lack of automorphic dilations underlies the inability of classical o...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2014
ISSN: 0004-2080
DOI: 10.1007/s11512-013-0189-9