Revista Matemática Iberoamericana
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Published online: 2019-08-26
Near-extremizers of Young’s inequality for Euclidean groupsMichael Christ (1) University of California, Berkeley, USA
Any pair of functions that nearly realizes equality in Young's convolution inequality $\|f*g\|_s\le A \|f\|_p\|g\|_q$ with sharp constant, for Euclidean groups, is close in norm to a pair that realizes equality.
Keywords: Convolution, Young’s inequality, maximizer, stability, rearrangement
Christ Michael: Near-extremizers of Young’s inequality for Euclidean groups. Rev. Mat. Iberoam. 35 (2019), 1925-1972. doi: 10.4171/rmi/1055