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On the Two-Dimensional Pointwise Dyadic Calculus

✍ Scribed by G. Gát

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
458 KB
Volume
92
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper we prove the two-dimensional pointwise dyadic differentiability (provided that the distance of the indices is bounded) of the dyadic integral of integrable two-dimensional functions. We also prove some inequality of type (H, L 1 ) for the maximal operator sup n # N 2 |d n (If )|.

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