| 1. |
- Andersson, Johan, 1971-
(författare)
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Disproof of some conjectures of P. Turan
- 2007
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Ingår i: Acta Mathematica Hungarica. - : Springer Science and Business Media LLC. - 0236-5294 .- 1588-2632. ; 117:3, s. 245-250
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Tidskriftsartikel (refereegranskat)abstract
- We disprove some power sum conjectures of Turan that would have implied the density hypothesis of the Riemann zeta-function if true.
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| 2. |
- Arenas, FG, et al.
(författare)
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Transfinite extension of Steinke's dimension
- 2000
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Ingår i: Acta Mathematica Hungarica. - 0236-5294 .- 1588-2632. ; 88:1-2, s. 105-112
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Tidskriftsartikel (refereegranskat)abstract
- We introduce a transfinite extension trt of dimension t from [10]. We extend all main theorems for t such as the sum theorems, the product theorem and the compactification theorem to the transfinite numbers. We also consider the class of all spaces X with trt (X) = omega(0), the so called finite-dimensional separated spaces [2], with respect to the usual classes of infinite-dimensional spaces.
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| 3. |
- Barza, Sorina, et al.
(författare)
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Multidimensional rearrangement and Lorentz spaces
- 2004
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Ingår i: Acta Mathematica Hungarica. - 0236-5294 .- 1588-2632. ; 104:3, s. 203-224
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Tidskriftsartikel (refereegranskat)abstract
- We define a multidimensional rearrangement, which is related to classical inequalities for functions that are monotone in each variable. We prove the main measure theoretical results of the new theory and characterize the functional properties of the associated weighted Lorentz spaces.
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| 4. |
- Chatyrko, V A, et al.
(författare)
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On the classes of remainders of locally compact noncompact spaces
- 2012
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Ingår i: Acta Mathematica Hungarica. - : Akadimiai Kiadi / Springer Verlag (Germany). - 0236-5294 .- 1588-2632. ; 137:4, s. 231-241
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Tidskriftsartikel (refereegranskat)abstract
- We consider the classes R(X) of remainders of locally compact noncompact separable metrizable spaces X in metrizable compactifications. For each integer n andgt;= 1 we describe the classes R(X) of spaces X additionally having the n-complementation property in the sense of Cain, Jr. Then we show that for each alpha andlt; omega(1) there is a locally compact noncompact separable metrizable space H (alpha) such that {R(H-alpha) : alpha andlt; omega(1)} is a strictly increasing sequence in the family R of all classes R(X).
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| 5. |
- Chatyrko, V A, et al.
(författare)
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Remainders in extensions and finite unions of locally compact sets
- 2010
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Ingår i: ACTA MATHEMATICA HUNGARICA. - : Springer Science Business Media. - 0236-5294 .- 1588-2632. ; 128:4, s. 344-357
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Tidskriftsartikel (refereegranskat)abstract
- We discuss the relationship between properties of spaces and their remainders in extensions from the class P (fin) of all finite unions of locally compact spaces. In particular, we show that a space X a P (fin) iff the remainder in each (some) compactification of X is in P (fin). Then we study the class P (fin) and the relationship between the remainders of a space from this class in compact extensions and give a generalization of the theorem of Henriksen-Isbell.
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| 6. |
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| 7. |
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| 8. |
- Gogatishvili, Amiran, et al.
(författare)
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Some new scales of weight characterizations of the class Bp
- 2009
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Ingår i: Acta Mathematica Hungarica. - : Springer Science and Business Media LLC. - 0236-5294 .- 1588-2632. ; 123:4, s. 365-377
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Tidskriftsartikel (refereegranskat)abstract
- We present an equivalence theorem, which includes all known characterizations of the class B p , i.e., the weight class of Ariño and Muckenhoupt, and also some new equivalent characterizations. We also give equivalent characterizations for the classes B p *, B ∞ * and RB p , and prove and apply a "gluing lemma" of independent interest.
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| 9. |
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| 10. |
- Gut, Allan, et al.
(författare)
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On the strong law of large numbers for delayed sums and random fields
- 2010
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Ingår i: Acta Mathematica Hungarica. - : Springer Science and Business Media LLC. - 0236-5294 .- 1588-2632. ; 129:1-2, s. 182-203
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Tidskriftsartikel (refereegranskat)abstract
- A paper by Chow [3] contains (i.a.) a strong law for delayed sums, such that the length of the edge of the nth window equals n (alpha) for 0 < alpha < 1. In this paper we consider the kind of intermediate case when edges grow like n=L(n), where L is slowly varying at infinity, thus at a higher rate than any power less than one, but not quite at a linear rate. The typical example one should have in mind is L(n) = log n. The main focus of the present paper is on random field versions of such strong laws.
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