Measure density and extendability of Sobolev functions.
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P. Hajlasz, P. Koskela, H. Tuominen (2008)
Revista Matemática Iberoamericana
Loukas Grafakos, Liguang Liu, Diego Maldonado, Dachun Yang (2014)
The Anh Bui, Jun Cao, Luong Dang Ky, Dachun Yang, Sibei Yang (2013)
Analysis and Geometry in Metric Spaces
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) → [0;∞) be a function such that φ (x;·) is an Orlicz function, φ(·;t) ∊ A∞(X) (the class of uniformly Muckenhoupt weights), its uniformly critical upper type index l(φ) ∊ (0;1] and φ(·; t) satisfies the uniformly reverse Hölder inequality of order...
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