A two-weight fractional Poincaré-Sobolev inequality and a related embedding into a difference-norm Triebel-Lizorkin space are proved with asymptotically sharp constants and explicit Muckenhoupt dependence.
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The two-weight fractional Poincar\'e-Sobolev sandwich
A two-weight fractional Poincaré-Sobolev inequality and a related embedding into a difference-norm Triebel-Lizorkin space are proved with asymptotically sharp constants and explicit Muckenhoupt dependence.