We obtain new conditions on periodic integrable functions so that their transformed Fourier series belong to Lp. This improves the classical Hardy and Bellman results. A counterpart for the Fourier transforms is also established. Our main tool is a new extension of the Hausdorff–Young–Paley inequality for Fourier transforms. © 2018 Elsevier Inc
A theorem of Hausdorff Young type is proved for integral operators in the setting of gage spaces. Th...
We establish several versions of Hardy's theorem for the Fourier transform on the Heisenberg group. ...
We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using w...
We obtain new conditions on periodic integrable functions so that their transformed Fourier series b...
It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequalit...
It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequalit...
In this paper we study the vector-valued analogues of several inequalities for the Fourier transform...
In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficie...
In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficie...
In this paper we study the vector-valued analogues of several inequalities for the Fourier transform...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
One of the main purposes of this paper is to obtain estimates for Fourier transforms of functions in...
The following generalization of Hardy's inequality is due to I. Klemes (6) (1993);"There is a consta...
In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral oper...
A theorem of Hausdorff Young type is proved for integral operators in the setting of gage spaces. Th...
A theorem of Hausdorff Young type is proved for integral operators in the setting of gage spaces. Th...
We establish several versions of Hardy's theorem for the Fourier transform on the Heisenberg group. ...
We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using w...
We obtain new conditions on periodic integrable functions so that their transformed Fourier series b...
It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequalit...
It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequalit...
In this paper we study the vector-valued analogues of several inequalities for the Fourier transform...
In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficie...
In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficie...
In this paper we study the vector-valued analogues of several inequalities for the Fourier transform...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
One of the main purposes of this paper is to obtain estimates for Fourier transforms of functions in...
The following generalization of Hardy's inequality is due to I. Klemes (6) (1993);"There is a consta...
In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral oper...
A theorem of Hausdorff Young type is proved for integral operators in the setting of gage spaces. Th...
A theorem of Hausdorff Young type is proved for integral operators in the setting of gage spaces. Th...
We establish several versions of Hardy's theorem for the Fourier transform on the Heisenberg group. ...
We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using w...
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