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Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main...
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Boundedness of the Riesz potential in central Morrey–Orlicz spaces
Boundedness of the maximal operator and the Calderón–Zygmund singular integral operators in central Morrey–Orlicz spaces were proved in papers...
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Bochner–Riesz operators in grand lebesgue spaces
We provide the conditions for the boundedness of the Bochner–Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a...
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On Weaving Generalized Frames and Generalized Riesz Bases
Weaving frames have potential applications in wireless sensor networks that require distributed processing of signals under different frames. In this...
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Riesz Transforms Associated to Semigroups of Markov Multipliers
In this chapter, we start by proving Khintchine inequalities for q-Gaussians in crossed products. As a consequence, we obtain boundedness of Lp-Riesz...
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g-Riesz operators and their spectral properties
In this paper, we provide some results in concern with the so called g-Riesz operators acting on a non-reflexive Banach space X having some...
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On Bernstein Inequality via Chebyshev Polynomial
Motivated by applications to the Carleson embedding theorem with matrix weights, Culiuc and Treil proved a Bernstein-type inequality for complex...
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Generalized Riesz Potential Operator in the Modified Morrey Spaces
In this paper, we prove the boundedness of generalized fractional maximal operator...
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Existence and exactness of exponential Riesz sequences and frames for fractal measures
We study the construction of exponential frames and Riesz sequences for a class of fractal measures on ℝ d generated by infinite convolution of...
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From Weak-type Weighted Inequality to Pointwise Estimate for the Decreasing Rearrangement
We shall prove pointwise estimates for the decreasing rearrangement of Tf , where T covers a wide range of interesting operators in Harmonic Analysis...
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Riesz transforms of a general Ornstein–Uhlenbeck semigroup
We consider Riesz transforms of any order associated to an Ornstein–Uhlenbeck operator with covariance given by a real, symmetric and positive...