Poincaré inequalities and \(A_p\) weights on bow-ties

Inequalities in metric spaces (30L15) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36) Generalizations of potential theory (31Cxx)

Cites Work

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The Poincaré inequality is an open ended condition
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Sobolev met Poincaré
Sharp conditions for 1-dimensional weighted Poincare inequalities
Characterizations of p-superharmonic functions on metric spaces
Tensor products and sums of 𝑝\mspace{1𝑚𝑢}-harmonic functions, quasiminimizers and 𝑝\mspace{1𝑚𝑢}-admissible weights
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Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential

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