Criteria of weighted inequalities in Orlicz classes for maximal functions defined on homogeneous type spaces | Zendy

Амиран Гогатишвили | Zendy; Vakhtang Kokilashvili | Zendy

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Criteria of weighted inequalities in Orlicz classes for maximal functions defined on homogeneous type spaces

Author(s) -

Амиран Гогатишвили,

Vakhtang Kokilashvili

Publication year - 1994

Publication title -

georgian mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.277

H-Index - 27

eISSN - 1572-9176

pISSN - 1072-947X

DOI - 10.1007/bf02254684

Subject(s) - mathematics , homogeneous , type (biology) , maximal function , pure mathematics , birnbaum–orlicz space , inequality , mathematical analysis , functional analysis , combinatorics , interpolation space , ecology , biology , biochemistry , chemistry , gene

The necessary and sufficient conditions are derived in order that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal functions defined on homogeneous type spaces. A weak type problem with weights is solved for vector-valued maximal functions.

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