Interpolation of quasicontinuous functions

Joan Cerdà, Joaquim Martín, and Pilar Silvestre. "Interpolation of quasicontinuous functions." Banach Center Publications 95.1 (2011): 281-286. <http://eudml.org/doc/282488>.

@article{JoanCerdà2011,
abstract = {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 $K(t,f;L^p(C) ∩ QC, L^∞(C) ∩ QC)$. We apply this result to identify the interpolation space $(L^\{p₀,q₀\}(C) ∩ QC,L^\{p₁,q₁\}(C) ∩ QC)_\{θ,q\}$.},
author = {Joan Cerdà, Joaquim Martín, Pilar Silvestre},
journal = {Banach Center Publications},
keywords = {capacity; Lorentz spaces; interpolation; quasicontinuous function},
language = {eng},
number = {1},
pages = {281-286},
title = {Interpolation of quasicontinuous functions},
url = {http://eudml.org/doc/282488},
volume = {95},
year = {2011},
}

TY - JOUR
AU - Joan Cerdà
AU - Joaquim Martín
AU - Pilar Silvestre
TI - Interpolation of quasicontinuous functions
JO - Banach Center Publications
PY - 2011
VL - 95
IS - 1
SP - 281
EP - 286
AB - 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 $K(t,f;L^p(C) ∩ QC, L^∞(C) ∩ QC)$. We apply this result to identify the interpolation space $(L^{p₀,q₀}(C) ∩ QC,L^{p₁,q₁}(C) ∩ QC)_{θ,q}$.
LA - eng
KW - capacity; Lorentz spaces; interpolation; quasicontinuous function
UR - http://eudml.org/doc/282488
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Language to use for this widget.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Number of notes per page

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.