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Interpolation theorems for variable exponent Lebesgue spaces |
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| Authors: | Tengiz Kopaliani |
| Institution: | Department of Mechanics and Mathematics, Tbilisi State University, Chavchavadze av. 1, 0128, Tbilisi, Georgia |
| Abstract: | When Hardy-Littlewood maximal operator is bounded on Lp(⋅)(Rn) space we prove θLp(⋅)(Rn),BMO(Rn)]=Lq(⋅)(Rn) where q(⋅)=p(⋅)/(1−θ) and θLp(⋅)(Rn),H1(Rn)]=Lq(⋅)(Rn) where 1/q(⋅)=θ+(1−θ)/p(⋅). |
| Keywords: | Hardy space Variable exponent Lebesgue space Complex interpolation method Calderon product |
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