Interpolation of Generalized Gamma Spaces in a Critical Case
Journal of Fourier Analysis and Applications（2022）
Abstract
We establish some interpolation formulae for generalized gamma spaces with double weights in a critical case. Our approach is based on identifying generalized gamma spaces as appropriate K -interpolation spaces with general weights and then applying the reiteration technique for K -interpolation spaces.
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Key words
Generalized gamma spaces, Small and grand Lebesgue spaces,
K-interpolation spaces, Weighted inequalities, 46E30, 46B70, 26D15
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