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In this paper, we derive the following Leray–Trudinger type inequality on a bounded domain [Formula: see text] in [Formula: see text] containing the origin. [Formula: see text] [Formula: see text] Here, [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text] for [Formula: see text] This improves an earlier result by Psaradakis and Spector. Also, we prove that for any [Formula: see text] in the place of [Formula: see text], the above inequality is false if we take [Formula: see text].
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Mallick et al. (2017) studied this question.
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