Interpolation inequalities between Lorentz space and BMO: the endpoint case (L^{1,infinity}, BMO)
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Summary: We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobolev norm. In particular, we obtain an interpolation inequality for \((L^{1,\infty}, BMO)\), that we call the endpoint case.
BMO space, Lorentz spaces, Interpolation between normed linear spaces, Fractional Sobolev spaces, QA1-939, Inequalities involving derivatives and differential and integral operators, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Gagliardo-Nirenberg inequality, fractional Sobolev spaces, Mathematics
BMO space, Lorentz spaces, Interpolation between normed linear spaces, Fractional Sobolev spaces, QA1-939, Inequalities involving derivatives and differential and integral operators, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Gagliardo-Nirenberg inequality, fractional Sobolev spaces, Mathematics
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