Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
This paper provides estimates for an appropriate norm of the convolution of a function in a Lorentz space with one in a generalized Lorentz-Zygmund space.As a corollary, it is shown that the Riesz potential of a function in an appropriate generalized Lorentz-Zygmund space satisfies a 'double exponential' integrability condition.The results …