Abstract
It is proved that there exists an integrable function on [0, 1]2 whose integral is nondifferentiable in each direction belonging to a set everywhere dense in [0, 2π] but is strongly differentiable.
Original language | American English |
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Journal | Mathematical Notes |
Volume | 64 |
DOIs | |
State | Published - Nov 1998 |
Disciplines
- Mathematics
Keywords
- Integrable Function
- Strong Differentiability
- Zygmund Problem
- the Jessen-marcinkiewicz-zygmund Theorem