Erratum to “Variable exponent Herz spaces”, Mediterr. J. Math. DOI: 10.1007/s00009-013-0285-x, 2013

Abstract

We fill in a gap in the proof of Theorem 5.1 of [1] on the boundedness of sublinear operators of singular type in variable exponent Herz type spaces \({H^{p(\cdot),q(\cdot),\alpha (\cdot)}(\mathbb{R}^n)}\) . When q is constant, the formulation of Theorem 5.1 from [1] remains the same. In the case where q is variable, Theorem 5.1 needs a more precise formulation with respect to some auxiliary parameters of the space (not reflected in the notation \({H^{p(\cdot),q(\cdot),\alpha (\cdot)}(\mathbb{R}^n)}\) of the space).