Boundedness of higher-order Marcinkiewicz-Type integrals
Let A be a function with derivatives of order m and DγA∈Λ˙β(0<β<1,|γ|=m). The authors in the paper proved that if Ω∈Ls(Sn−1) (s≥n/(n−β)) is homogeneous of degree zero and satisfies a vanishing condition, then both the higher-order Marcinkiewicz-type integral μΩA and its variation μ˜ΩA ar...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/31705 |