More General Step-Weight Functions ϕ
In Section 1.2 three conditions were imposed on ϕ which were the basis of all the proofs up to now. In this chapter we will relax Conditions I and II and will show that in a way III cannot be relaxed without changing the definition of ω ϕ r (f,t) p . For ϕ(x) ~ xβ(0) where β(0) < 0 and ϕ(x) ~ xβ(∞) where β(∞) > 1 we will provide such a change.
KeywordsLebesgue Measure Lower Estimate Absolute Continuity Lebesgue Measure Zero Growth Order
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