Results 21 to 30 of about 284 (35)
Weighted weak-type inequalities for square functions
, 2020 The paper is devoted to weighted weak-type inequalities for square functions of continuous-path martingales and identifies the optimal dependence of the weak norm on the characteristic of the weight.
A. Osȩkowski
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Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces
, 2017 On generalized martingale Morrey spaces we give necessary and sufficient conditions for the boundedness of generalized fractional integrals as martingale transforms. Mathematics subject classification (2010): 60G46, 60G42, 46E30, 42B35.
E. Nakai, Gaku Sadasue
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Some estimates for Hausdorff operators
, 2015 In this paper, we give some sufficient conditions for the boundedness of three types of Hausdorff operators on the Lebesgue spaces with power weights. In some cases, these conditions are also necessary and the corresponding operator norms are worked out.
G. Gao +3 more
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Polynomial inequalities on measurable sets in Lorentz spaces and their applications
, 2020 In this short note, we study inequalities for algebraic polynomials on measurable sets in Lorentz spaces and discuss their applications to best approximation. Mathematics subject classification (2010): 46E30, 47A30, 41A10.
F. Levis
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INVERSION OF THE MIXED RIESZ HYPERBOLIC B-POTENTIALS
, 2017 In this article a theory of fractional powers of a singular hyperbolic operator on arbitrary spaces is discussed. We consider the problem of inversion of the mixed hyperbolic Riesz B-potential operator on weighted Lebesgue spaces.
E. Shishkina
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Abstract Korovkin theory for double sequences via power series method in modular spaces
Operators and Matrices, 2019 KOROVKIN THEORY FOR DOUBLE SEQUENCES VIA POWER SERIES METHOD IN MODULAR SPACES FADIME DIRIK, SEVDA YILDIZ AND KAMIL DEMIRCI Abstract. In the present paper, we obtain an abstract version of the Korovkin type approximation theorems for double sequences of ...
F. Dirik, S. Yıldız, K. Demirci
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Commutators for the maximal functions on Lebesgue spaces with variable exponent
, 2014 Let M be the Hardy-Littlewood maximal function, the commutator generated by M and a suitable function b is defined by [M,b] f = M(b f )−bM f . In this paper, the authors give some characterizations of b for which [M,b] is bounded on the Lebesgue spaces ...
Jiang-Long Wu, Pu Zhang
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The Riesz-Kolmogorov theorem on metric spaces
, 2014 We study precompact sets inLp.X; /, where .X; / is a metric measure space. Using Vitali and maximal function theorems we establish a full characterization of such sets.
P. Górka, Anna Macios
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ON PROPERTIES OF SPACES WITH MARTINGALE MIXED NORM WITH SUMMABILITY EXPONENTS CLOSE TO ONE
Journal of Mathematical Sciences, 2023 I. Pavlov
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Bessel potential spaces with variable exponent
, 2007 We show that a variable exponent Bessel potential space coincides with the variable exponent Sobolev space if the Hardy-Littlewood maximal operator is bounded on the underlying variable exponent Lebesgue space.
P. Gurka +2 more
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