Fractional Hardy-Sobolev-Maz'ya inequality for domains

Bartłomiej Dyda, and Rupert L. Frank. "Fractional Hardy-Sobolev-Maz'ya inequality for domains." Studia Mathematica 208.2 (2012): 151-166. <http://eudml.org/doc/285649>.

@article{BartłomiejDyda2012,
abstract = {We prove a fractional version of the Hardy-Sobolev-Maz’ya inequality for arbitrary domains and $L^\{p\}$ norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.},
author = {Bartłomiej Dyda, Rupert L. Frank},
journal = {Studia Mathematica},
keywords = {fractional Hardy-Sobolev-Maz'ya inequality; fractional Hardy inequality},
language = {eng},
number = {2},
pages = {151-166},
title = {Fractional Hardy-Sobolev-Maz'ya inequality for domains},
url = {http://eudml.org/doc/285649},
volume = {208},
year = {2012},
}

TY - JOUR
AU - Bartłomiej Dyda
AU - Rupert L. Frank
TI - Fractional Hardy-Sobolev-Maz'ya inequality for domains
JO - Studia Mathematica
PY - 2012
VL - 208
IS - 2
SP - 151
EP - 166
AB - We prove a fractional version of the Hardy-Sobolev-Maz’ya inequality for arbitrary domains and $L^{p}$ norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.
LA - eng
KW - fractional Hardy-Sobolev-Maz'ya inequality; fractional Hardy inequality
UR - http://eudml.org/doc/285649
ER -