Some Maximal Inequalities on L<sup>p</sup>(L<sup>q</sup>) Spaces

Gao Rui. Some Maximal Inequalities on Lp(Lq) Spaces[J]. Chinese Journal of Engineering, 1989, 11(1): 92-98. DOI: 10.13374/j.issn1001-053x.1989.01.017

Citation:

Gao Rui. Some Maximal Inequalities on Lp(Lq) Spaces[J]. Chinese Journal of Engineering, 1989, 11(1): 92-98. DOI: 10.13374/j.issn1001-053x.1989.01.017

Citation:

Gao Rui. Some Maximal Inequalities on Lp(Lq) Spaces[J]. Chinese Journal of Engineering, 1989, 11(1): 92-98. DOI: 10.13374/j.issn1001-053x.1989.01.017

Some Maximal Inequalities on L^p(L^q) Spaces

Abstract

In this note we extend Marcinkiewicz interpolation theorem to the case of operators from L^p(L^q) to L^P, and then use it to extend Hardy-Littlewood maximal theorem to L^p(L^q) spaces.

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