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Criteria for strong u-points, succinctly locally uniformly corpulent points, weakly succinctly locally uniformly weighty points and topically uniformly rotund-points fashionable orlicz sequence spaces equipped with the luxemburg norm ar given.
It is as wel shown that stylish any banach blank x strong u-points are exposed points and that these points are indirect to very smooth-textured points in the dual space x*.
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Besides, IT is proved that any trajectory of an f -quadratic stochastic operator exponentially rapidly converges to this fixed point.
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Many function spaces appearing in acoustics analysis fall nether the scope of this new framework.
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In this paper, the authors propose a newborn framework under which a theory of generalized besov-type and triebel-lizorkin-type function spaces is developed.
Among others, the boundedness of the hardy-littlewood maximum operator or the related vector-valued maximum function on whatever of these function.
It is shown that each f -quadratic operator has A unique fixed compass point.
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In this paper, we bring in the notion of an f -quadratic stochastic operator.
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