Rearrangement-invariant hulls of weighted Lebesgue spaces

Abstract

We characterize the rearrangement-invariant hull, with respect to a given measure $\mu$, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of $(L^1+L^{\infty })(R,\mu )$ and the final condition is given in terms of embeddings for weighted Lorentz spaces.

References in corpus (1)

• On a family of fully nonlinear integro-differential operators: From fractional Laplacian to nonlocal Monge-Ampère