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Hardy-type inequality with double singular kernels

100%

Fabricant A., Kutev N., Rangelov T.

Open Mathematics

2013

tom 11

nr 9

1689-1697

A Hardy-type inequality with singular kernels at zero and on the boundary ∂Ω is proved. Sharpness of the inequality is obtained for Ω= B 1(0).

On sharp reiteration theorems and weighted norm inequalities

80%

Bastero J., Milman M., Ruiz F. J.

Studia Mathematica

2000

tom 142

nr 1

7-24

We prove sharp end forms of Holmstedt's reiteration theorem which are closely connected with a general form of Gehring's Lemma. Reverse type conditions for the Hardy-Littlewood-Pólya order are considered and the maximal elements are shown to satisfy generalized Gehring conditions. The methods we use are elementary and based on variants of reverse Hardy inequalities for monotone functions.

Double exponential integrability, Bessel potentials and embedding theorems

61%

Edmunds D. E., Gurka P., Opic B.

Studia Mathematica

1995

tom 115

nr 2

151-181

This paper is a continuation of [5] and provides necessary and sufficient conditions for double exponential integrability of the Bessel potential of functions from suitable (generalized) Lorentz-Zygmund spaces. These results are used to establish embedding theorems for Bessel potential spaces which extend Trudinger's result.

Ograniczanie wyników

2 Studia Mathematica

1 Open Mathematics

1 Bastero J.

1 Edmunds D. E.

1 Fabricant A.

1 Gurka P.

1 Kutev N.

1 Milman M.

1 Opic B.

1 Rangelov T.

1 Ruiz F. J.

1 2013

1 2000

1 1995

Wyniki wyszukiwania

Hardy-type inequality with double singular kernels

On sharp reiteration theorems and weighted norm inequalities

Double exponential integrability, Bessel potentials and embedding theorems