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Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
We investigate the convergence of Bochner–Riesz means on Hardy–Sobolev spaces. The relation between the smoothness imposed on functions and the rate...
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Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces
In the paper, the estimates of generalized modulus of smoothness and best approximation in variable exponent grand Lebesgue spaces in terms of norms...
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Riesz–Zygmund means and trigonometric approximation in Morrey spaces
We estimate best approximations and moduli of smoothness of functions in Morrey spaces variable exponent spaces by norms of derivatives of...
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A Representation Theorem for Archimedean Riesz Spaces
In previous works, Buskes and the author have made use of representations of Archimedean Riesz spaces in terms of real-valued continuous functions...
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Left and right generalized Drazin–Riesz invertible multivalued linear operators
In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations are introduced and studied. For these classes of...
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On a Problem of Conrad on Riesz Space Structures
This paper is concerned with Riesz space structures on a lattice ordered abelian group, continuing a line of research conducted by the author and the...
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The lateral order on Riesz spaces and orthogonally additive operators. II
The present paper aims to describe the relationships between the intersection property, introduced and studied in the previous paper by the authors,...
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Riesz Transform Estimates: Part I
In this chapter, we characterize the range of exponents p for...
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Riesz transforms and commutators in the Dunkl setting
In this paper we characterise the pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric...
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The Bochner–Riesz Problem: An Old Approach Revisited
We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner–Riesz problem. This is...
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A Bessel Analog of the Riesz Composition Formula
We provide an elementary derivation of the Bessel analog of the celebrated Riesz composition formula and use the former to effortlessly derive the...
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Riesz Transform Estimates: Part II
We come back to the Riesz transform interval $$\displaystyle...
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Continuity estimates for Riesz potentials on polygonal boundaries
Riesz potentials are well known objects of study in the theory of singular integrals that have been the subject of recent, increased interest from...
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Hardy–Sobolev Inequalities For Riesz Potentials Of Functions In Orlicz Spaces
We establish a Hardy–Sobolev inequality for Riesz potentials of functions in Orlicz spaces.