It is still unknown what the smallest constants Cp,d and Cd are in the above inequalities. However, a result of Elias Stein about spherical maximal functions can be used to show that, for 1 < p < ∞, we can remove the dependence of Cp,d on the dimension, that is, Cp,d = Cp for some constant Cp > 0 only … Zobraziť viac In mathematics, the Hardy–Littlewood maximal operator M is a significant non-linear operator used in real analysis and harmonic analysis. Zobraziť viac This theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from the L (R ) to itself for p > 1. That is, if f ∈ L (R ) then the maximal … Zobraziť viac • Rising sun lemma Zobraziť viac The operator takes a locally integrable function f : R → C and returns another function Mf. For any point x ∈ R , the function Mf returns the maximum of a set of reals, namely … Zobraziť viac While there are several proofs of this theorem, a common one is given below: For p = ∞, the inequality is trivial (since the average of a function is no larger than its essential supremum Zobraziť viac WebDue to their activity, photosensitizers with the Ru(II)–polypyridyl complex structure represent an intriguing class of photodynamic therapy agents used to treat neoplasms. However, their solubility is poor, intensifying experimental research into improving this property. One recently proposed solution is to attach a polyamine macrocycle ring. In this paper, the …
Local Zeta Functions Attached to the Minimal Spherical Series for …
Web18. máj 2024 · The main results of this paper are the boundedness of the spherical maximal function, the maximal Bochner–Riesz mean, the geometrical maximal functions and the … Web13. sep 2024 · The main objective of this paper is the spherical maximal function on finite graphs. Let us introduce one definition. Definition 1.2 (Spherical maximal operator on … buckles histon
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WebThe cyclic quadrilateral has maximal area among all quadrilaterals having the same side lengths (regardless of sequence). This is another corollary to Bretschneider's formula. ... the trigonometric functions of A are given by ... The first of these theorems is the spherical analogue of a plane theorem, and the second theorem is its dual, ... Web2. apr 2024 · Spherical maximal functions and fractal dimensions of dilation sets Joris Roos, Andreas Seeger For the spherical mean operators in , , we consider the maximal … Web20. aug 2003 · The discrete spherical maximal function is defined as the operator A( (f)(n) = supN1 f(n A~cc?, s~~ C f(7mIr where f: Zd -- C is a function, d > 2, Nd(r) denotes the … credit report agency address