Browsing by Author "Anise M. A.∗, Soleye S. L. and Rauf K."

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    Flux-Hardy Inequalities with Optimal Constants via Divergence and Rearrangements
    (Unilorin Press, 2024) Anise M. A.∗, Soleye S. L. and Rauf K.
    We develop sharp Hardy-type inequalities for boundary flux functionals generated by dilations of a fixed smooth set in R^n. The method combines the divergence theorem with rearrangement bounds to reduce flux estimates to one-dimensional Hardy averages. Directional, divergence-form, and multi-flux inequalities are obtained in arbitrary dimension with the optimal constant and sharpness is shown by explicit near-extremizing constructions.