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MULTIPARAMETER MAXIMAL OPERATORS AND SQUARE FUNCTIONS ON PRODUCT-SPACES
- Authors
- Cho, Yong-Kum
- Issue Date
- Jan-1994
- Publisher
- INDIANA UNIV MATH JOURNAL
- Citation
- INDIANA UNIVERSITY MATHEMATICS JOURNAL, v.43, no.2, pp 459 - 491
- Pages
- 33
- Journal Title
- INDIANA UNIVERSITY MATHEMATICS JOURNAL
- Volume
- 43
- Number
- 2
- Start Page
- 459
- End Page
- 491
- ISSN
- 0022-2518
1943-5258
- Abstract
- In light of the question on strong pointwise convergence, we establish L(p) continuity results for maximal convolution operators [GRAPHICS] in which a minimal decay rate and smoothness hypothesis is imposed on the multiplier m. The theory of harmonic analysis on product domains will be exploited for proofs.
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