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2006•Unpublished venueRequires access

Boundedness of Hardy-littlewood Maximal Operators on BL~p Spaces

Qinggang Ren

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Abstract

Generalized Lp Spaces Which are constituted of analytic function of complex field to of general Banach Spaces,i.e.BLp spaces,are defined.And it is proved that Hardy-littlewood maximal function Mf is weak L1 function when f∈BL1,it is also proved that Mf∈Lp if f∈BLp when 1≤p +∞.i.e.it is proved that Hardy-littlewood maximal operators are bounded from BLp spaces to Lp spaces.

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Generalized Lp Spaces Which are constituted of analytic function of complex field to of general Banach Spaces,i.e.BLp spaces,are defined.And it is proved that Hardy-littlewood maximal function Mf is weak L1 function when f∈BL1,it is also proved that Mf∈Lp if f∈BLp when 1≤p +∞.i.e.it is proved that Hardy-littlewood maximal operators are bounded from BLp spaces to Lp spaces.

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Available abstract

Generalized Lp Spaces Which are constituted of analytic function of complex field to of general Banach Spaces,i.e.BLp spaces,are defined.And it is proved that Hardy-littlewood maximal function Mf is weak L1 function when f∈BL1,it is also proved that Mf∈Lp if f∈BLp when 1≤p +∞.i.e.it is proved that Hardy-littlewood maximal operators are bounded from BLp spaces to Lp spaces.

Key concepts: Hardy space, Mathematics, Maximal function, Banach space, Function space, Interpolation space, Bounded function, Pure mathematics

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