A nonlocal Gagliardo seminorm defines fractional Sobolev spaces on time scales as Banach spaces with reflexivity and Hilbert properties, norm equivalence to Riemann-Liouville spaces on continuous intervals for vanishing boundary traces, explicit non-equivalence on hybrids, and Poincare, Sobolev, and
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Towards a Gagliardo-Type Theory of Fractional Sobolev Spaces on Arbitrary Time Scales
A nonlocal Gagliardo seminorm defines fractional Sobolev spaces on time scales as Banach spaces with reflexivity and Hilbert properties, norm equivalence to Riemann-Liouville spaces on continuous intervals for vanishing boundary traces, explicit non-equivalence on hybrids, and Poincare, Sobolev, and