Results 61 to 70 of about 1,697 (123)

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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

Demonstratio Mathematica, 2019
We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
doaj   +1 more source

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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

Standing waves for Choquard equation with noncritical rotation

Advances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

The Lusin Theorem and Horizontal Graphs in the Heisenberg Group

Analysis and Geometry in Metric Spaces, 2013
In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−1 whose derivatives of order m − 1 may have any modulus of continuity weaker than that of a Lipschitz ...
Hajłasz Piotr, Mirra Jacob
doaj   +1 more source

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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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, Xiao-mei Wu, Amjad Hussain, Guoping Zhao   +3 more
semanticscholar   +1 more source