Interpolation of quasicontinuous functions

Joan Cerdà, Joaquim Martín, Pilar Silvestre
2011 Banach Center Publications  
If C is a capacity on a measurable space, we prove that the restriction of the K-functional K(t, f ; L p (C), L ∞ (C)) to quasicontinuous functions f ∈ QC is equivalent to We apply this result to identify the interpolation space (L p 0 ,q 0 (C) ∩ QC, L p 1 ,q 1 (C) ∩ QC) θ,q .
doi:10.4064/bc95-0-15 fatcat:gy7vys7isvbczhmek35rn3k6xq