Variable exponent trace spaces

Lars Diening, and Peter Hästö. "Variable exponent trace spaces." Studia Mathematica 183.2 (2007): 127-141. <http://eudml.org/doc/285000>.

@article{LarsDiening2007,
abstract = {The trace space of $W^\{1,p(·)\}(ℝⁿ × [0,∞))$ consists of those functions on ℝⁿ that can be extended to functions of $W^\{1,p(·)\}(ℝⁿ × [0,∞))$ (as in the fixed-exponent case). Under the assumption that p is globally log-Hölder continuous, we show that the trace space depends only on the values of p on the boundary. In our main result we show how to define an intrinsic norm for the trace space in terms of a sharp-type operator.},
author = {Lars Diening, Peter Hästö},
journal = {Studia Mathematica},
keywords = {variable exponent; Sobolev space; trace space; sharp maximal operator},
language = {eng},
number = {2},
pages = {127-141},
title = {Variable exponent trace spaces},
url = {http://eudml.org/doc/285000},
volume = {183},
year = {2007},
}

TY - JOUR
AU - Lars Diening
AU - Peter Hästö
TI - Variable exponent trace spaces
JO - Studia Mathematica
PY - 2007
VL - 183
IS - 2
SP - 127
EP - 141
AB - The trace space of $W^{1,p(·)}(ℝⁿ × [0,∞))$ consists of those functions on ℝⁿ that can be extended to functions of $W^{1,p(·)}(ℝⁿ × [0,∞))$ (as in the fixed-exponent case). Under the assumption that p is globally log-Hölder continuous, we show that the trace space depends only on the values of p on the boundary. In our main result we show how to define an intrinsic norm for the trace space in terms of a sharp-type operator.
LA - eng
KW - variable exponent; Sobolev space; trace space; sharp maximal operator
UR - http://eudml.org/doc/285000
ER -