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Exact(29)
Similarly, is of weak type if (2.16).
(b If, then is of weak type.
We note that an operator of type ((p,q)) is also of weak type ((p,q)).
As an operator, is of weak type (1.5) and bounded on for.
Thus, to prove that is of weak type, we only need to prove (3.1).
which is of type for and is of weak type (1,1) (see [17, 18]).
Similar(31)
Let T be an operator of weak types (a, b) and (p, q), where a
Similarly, we have suggested that environmental exposure to a mixture of weak type-2 alkene electrophiles (e.g., ACR, methyl acrylate, ethyl methacrylate) could accelerate the progressive nerve terminal demise associated with Alzheimer's disease (reviewed by LoPachin et al. 2008b, 2009b).
It is generally agreed that injury usually follows a period of cumulative subclinical microdamage to the extracellular matrix that is both exercise- and age-associated; this damage includes reductions in collagen fibril diameter, increased amounts of weaker type III collagen (type I collagen predominates in normal adult tendon tissue), and reduced glycosaminoglycan levels [ 8- 11].
Thus, M f is of weak-type (Lp/q vdσ),Lp/q udσ)).
If T is a sublinear map from L p 0 + L p 1 to the space of measurable functions on Y which is of weak-types (p0,q0) and (p1,q1), then T is of type (p, q).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com