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1
Content available remote

The $L^{r}$ Henstock-Kurzweil integral

100%
Musial P., Sagher Y.
Studia Mathematica
|
2004
|
tom 160
|
nr 1
53-81
EN
We present a method of integration along the lines of the Henstock-Kurzweil integral. All $L^{r}$-derivatives are integrable in this method.
2
Content available remote

A geometrical/combinatorical question with implications for the John-Nirenberg inequality for BMO functions

81%
Cwikel M., Sagher Y., Shvartsman P.
Banach Center Publications
|
2011
|
tom 95
|
nr 1
45-53
EN
The first and last sections of this paper are intended for a general mathematical audience. In addition to some very brief remarks of a somewhat historical nature, we pose a rather simply formulated question in the realm of (discrete) geometry. This question has arisen in connection with a recently developed approach for studying various versions of the function space BMO. We describe that approach and the results that it gives. Special cases of one of our results give alternative proofs of the celebrated John-Nirenberg inequality and of related inequalities due to John and to Wik. One of our main results is that an affirmative answer to the above question would lead to a version of the John-Nirenberg inequality with "dimension free" constants.
3
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Content available

Norm inequalities for integral operators on cones

80%
Sagher Y., Siadat M. V., Zhou K.
Colloquium Mathematicum
|
1990
|
tom 60-61
|
nr 1
77-92
4
Content available remote

Some remarks an interpolation of operators and Fourier coefficients

60%
Sagher Y.
Studia Mathematica
|
1972
|
tom 44
|
nr 3
239-252
5
Content available remote

An application of interpolation theory to Fourier series

50%
Sagher Y.
Studia Mathematica
|
1972
|
tom 41
|
nr 2
169-181
6
Content available remote

Interpolation of r-Banach spaces

40%
Sagher Y.
Studia Mathematica
|
1972
|
tom 41
|
nr 1
45-70
7
Content available remote

On the Fejér-F. Riesz inequality in $L^{p}$

40%
Sagher Y.
Studia Mathematica
|
1977
|
tom 61
|
nr 3
269-278
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