S. Kanjilal

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math.FA2026

Compactness and Essential Distances of Weighted Bilinear Hardy-Steklov Operators

Saikat Kanjilal

We study weighted bilinear Hardy-Steklov operators on the half-line for $1 < p_{1}, p_{2} < \infty$ and $0 < q < \infty$ . The operator-theoretic core is an exact output-localisation principle.…

math.FA2026

Input-Endpoint Compactness and Essential Norms for Weighted Bilinear Hardy Operators

Saikat Kanjilal

We study compactness of the product of two weighted Hardy primitives into $L^{q} (u)$ , $0 < q < \infty$ , on the input boundary $1 \leq p_{1}, p_{2} \leq \infty$ , where at least one input exponent i…

math.FA2026

Endpoint-Safe Direct Characterisations of Weighted Bilinear Hardy Inequalities on Arbitrary Intervals

Saikat Kanjilal

We study the weighted bilinear Hardy inequality for the same-direction product $H_{I} f H_{I} g$ on an arbitrary real interval $I$ , with $0 < q < \infty$ , $1 \leq p_{1}, p_{2} \leq \infty$ , and meas…