| BMO and Singular Integrals over Certain Disconnected Groups |
| Received:March 26, 1997 |
| Key Words:
singular integral BMO weighted inequality.
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| Abstract: |
| In this paper the authors study proprieties of certain convolution operators on L∞ (G) and weighted BMO(a)(G) spaces,where G is a locally compact totally disconnected group with a suitable sequence of open compact subgroups. The authors prove that if the kernel satisfies certain conditions, then the convolution operator is bounded from L∞ to BMO(a) or from BMO(a) to BMO(ａ). |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2000.01.005 |
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