Author:
Mitsuo Izuki Advanced Mathematical Institute, Osaka City University, 3-3-138 Sugimoto Sumiyoshi-ku, 558-8585 Osaka, Japan

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Abstract  

Our aim in the present paper is to introduce non-homogeneous Herz-Sobolev spaces with variable exponent and to obtain a wavelet characterization and an unconditional basis of them using wavelets with proper decay and compact support. Our method is based on the extrapolation theorem and duality argument.

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Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)