The family of block spaces with variable exponents is introduced. We obtain some fundamental properties of the family of block spaces with variable exponents. They are Banach lattices and they are generalizations of the Lebesgue spaces with variable exponents. Moreover, the block space with variable exponents is a pre-dual of the corresponding Morrey space with variable exponents.
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Hong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R ChinaHong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R China
Cheung, Ka Luen
Ho, Kwok-Pun
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Hong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R ChinaHong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R China
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Eotvos L Univ, Dept Numer Anal, Budapest, Hungary
Eotvos L Univ, Dept Numer Anal, Pazmany P Setany 1 C, H-1117 Budapest, HungaryEotvos L Univ, Dept Numer Anal, Budapest, Hungary
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Inst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, ArgentinaInst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, Argentina
Agora, Elona
Antezana, Jorge
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Inst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, Argentina
Natl Univ La Plata, Fac Exact Sci, Dept Math, RA-1900 La Plata, Buenos Aires, ArgentinaInst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, Argentina
Antezana, Jorge
Carro, Maria J.
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Univ Barcelona, Dept Appl Math & Anal, E-08007 Barcelona, SpainInst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, Argentina