Porosity in Lebesgue spaces regarding weighted convolution

In this paper, for some classes of weight functions [Formula: see text] on [Formula: see text], we study [Formula: see text]-[Formula: see text]-lower porosity of the set [Formula: see text] in [Formula: see text], where [Formula: see text] with [Formula: see text], [Formula: see text] is a compact symmetric neighborhood of the identity element of a locally compact group [Formula: see text], and [Formula: see text] is the weighted convolution between measurable functions on [Formula: see text].