Translation invariant maps on function spaces over locally compact groups


Translation invariant maps on function spaces over locally compact groups is a scholarly work, published in 2019 in ''Journal of Mathematical Analysis and Applications''. The main subjects of the publication include pure mathematics, invariant, translation, fractional Fourier transform, algebra over a field, harmonic analysis, function space, factorization, Banach space, locally compact space, discrete mathematics, multilinear map, mathematics, bounded function, and locally compact Hausdorff group. The authors develop an abstract approach based on some new tools as abstract convolution and matching among Banach function lattices, and also on some classical techniques as Maurey-Rosenthal factorization of operators.