TY - JOUR
T1 - Wavelet characterization of Sobolev spaces with variable exponent
AU - Izuki, Mitsuo
PY - 2011/6/1
Y1 - 2011/6/1
N2 - Our aim is to get characterizations and unconditional bases of variable Sobolev spaces L p(·); s(ℝ n) in terms of wavelets. As an application, we obtain the sampling theorem in L p(·); s(ℝ n).
AB - Our aim is to get characterizations and unconditional bases of variable Sobolev spaces L p(·); s(ℝ n) in terms of wavelets. As an application, we obtain the sampling theorem in L p(·); s(ℝ n).
KW - Sampling theorem
KW - Sobolev space with variable exponent
KW - Unconditional basis
KW - Wavelet
KW - Weighted sobolev space
UR - http://www.scopus.com/inward/record.url?scp=84858391310&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84858391310&partnerID=8YFLogxK
U2 - 10.1515/JAA.2011.002
DO - 10.1515/JAA.2011.002
M3 - Article
AN - SCOPUS:84858391310
SN - 1425-6908
VL - 17
SP - 37
EP - 49
JO - Journal of Applied Analysis
JF - Journal of Applied Analysis
IS - 1
ER -