Analysis Mathematica
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Pettis integration in locally convex spaces
Analysis Mathematica - Tập 23 - Trang 241-257 - 1997
Иэучается интегрирование по Петтису функции, эаданных на пространстве с конечнои полнои мерои и принимауших эначения в локаляно выпуклом пространстве. Характериэуется интегрируемостя по Петтису скалярно интегрируемои функции в терминах линеиного оператора и билинеиного функционала, ассоциированных с функциеи. Иэвестно, что каздая функция, интегрируемая по Петтису, является равномерно скалярно инте...... hiện toàn bộ
Results on uniqueness of entire functions whose certain difference polynomials share a small function
Analysis Mathematica - Tập 41 - Trang 257-272 - 2015
In the paper, using the concept of weakly weighted sharing and relaxed weighted sharing, we investigate the uniqueness problems of certain type of difference polynomials that share a small function. The results of the paper improve and extend some recent results due to C. Meng [Math. Bohem., 139(2014), 89–97] and the present first author [Commun. Math. Stat., 3(2015), 227–238].
The Double Layer Potential Operator on Hardy Spaces
Analysis Mathematica - Tập 49 - Trang 167-182 - 2023
Many studies have been done for one-dimensional Cauchy integral operator. We consider n-dimensional Cauchy integral operator for hypersurface, or we say, the double layer potential operator, and obtain the boundedness from Hp(Rn) to hp(Rn) (local Hardy space). For the proof we introduce Clifford valued Hardy spaces.
Restricted testing conditions for the multilinear maximal operator
Analysis Mathematica - Tập 48 - Trang 19-28 - 2022
Restricted testing conditions were considered recently. For the maximal operator, Hytönen, Li and Sawyer [8] first obtained parental testing condition. Later, they [9] showed that it suffices to restrict testing to doubling cubes. Chen and Lacey [3] gave a similar restricted testing condition. In our paper, we discuss a version of the latter in the multilinear setting.
On the Boundedness of Dyadic Hardy and Hardy-Littlewood Operators on the Dyadic Spaces H and BMO
Analysis Mathematica - Tập 26 - Trang 287-298 - 2000
Dyadic analogs of the integral Hardy and Hardy-Littlewood operators on R
+ are introduced. It is proved that the first of them is bounded on the dyadic Hardy space H
d
(R
+), while the second one is bounded on the dyadic space BMO
d
(R
+) of functions of bounded mean oscillation on R
+.
General function spaces. III(SpacesB p,q g(x) andF p,q g(x) , 1
Analysis Mathematica - Tập 3 - Trang 221-249 - 1977
qNАстОьЩАь РАБОтА (А тАк жЕ ЕЕ пРОДОлжЕНИЕ — РА БОтА «ОБЩИЕ ФУНкцИОНАльН ыЕ пРО-стРАНстВА, IV») пОсВьЩЕНА ИсслЕДОВ АНИУ БАНАхОВых пРОст РАНстВB
()
ИF
()
РАспРЕДЕлЕНИИ (ОБОБЩЕННых) ВR
n
...... hiện toàn bộ
L 2(R n )-extremal problems on the basis of incomplete information
Analysis Mathematica - Tập 21 - Trang 107-124 - 1995
Рассматриваются зад ачи наилучшего восст ановления функций многих перем енных некоторых классов по их значениям на сетке. Получены точные результаты для некоторых классо в гладких функций мно гих переменных (периодич еских и непериодических), зад анных на евклидовом пространствеR
n
вL
2(R
2).
Erratum to: Atomic Decomposition of Hardy Spaces and Characterization of BMO Via Banach Function Spaces
Analysis Mathematica - Tập 45 - Trang 855-856 - 2019
The main purpose of this short note is to correct a technical error appeared in the proof of [2, Theorem 2.3].
A conjecture of Erdős and Reddy and the rational approximation of Mittag-Leffler type functions
Analysis Mathematica - Tập 6 Số 1 - Trang 51-56 - 1980
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