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Can I read Operators of Harmonic Analysis in Weighted Spaces with Non-standard Growth on EtoBox?
Operators of Harmonic Analysis in Weighted Spaces with Non-standard Growth by V.M. Kokilashvili; S.G. Samko is a Mathematics article available to read on EtoBox.
What is Operators of Harmonic Analysis in Weighted Spaces with Non-standard Growth about?
Last years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vectorvalued analogues.
Who reads Operators of Harmonic Analysis in Weighted Spaces with Non-standard Growth?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- V.M. Kokilashvili; S.G. Samko
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)