Add to ORKGIn this article we give a straightforward proof of refined inequalities between Lorentz spaces and Besov spaces and we generalize previous results of H. Bahouri and A. Cohen. Our approach is based in the characterization of Lorentz spaces as real interpolation spaces. We will also study the sharpness and optimality of these inequalities
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
A procedure is given to reduce the interpolation spaces on an ordered pair generated by the function...
We compute the K-functional related to some couple of spaces as small or classical Lebesgue space or...
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobol...
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sob...
International audienceWe establish refined Sobolev inequalities between the Lorentz spaces and homog...
With the help of limiting interpolation we determine the spaces obtained by iteration of approximati...
AbstractIt is shown that a recent characterization of the Lorentz mixed norm spaces due to Fernandez...
It is well known that the classical Sobolev embeddings may be improved within the framework of Loren...
International audienceWe prove that W1 p is a real interpolation space between W1 p1 and W1 p2 for p...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
This paper provides an overview of interpolation of Banach and Hilbert spaces, with a focus on estab...
In this paper we obtain some limit cases of inequalities of Ul'yanov-type for modulus of smoothness ...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
A procedure is given to reduce the interpolation spaces on an ordered pair generated by the function...
We compute the K-functional related to some couple of spaces as small or classical Lebesgue space or...
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobol...
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sob...
International audienceWe establish refined Sobolev inequalities between the Lorentz spaces and homog...
With the help of limiting interpolation we determine the spaces obtained by iteration of approximati...
AbstractIt is shown that a recent characterization of the Lorentz mixed norm spaces due to Fernandez...
It is well known that the classical Sobolev embeddings may be improved within the framework of Loren...
International audienceWe prove that W1 p is a real interpolation space between W1 p1 and W1 p2 for p...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
This paper provides an overview of interpolation of Banach and Hilbert spaces, with a focus on estab...
In this paper we obtain some limit cases of inequalities of Ul'yanov-type for modulus of smoothness ...
AbstractGiven Banach spaces X, a subspace Y, and a finite set G of bounded linear functionals on Y, ...
A procedure is given to reduce the interpolation spaces on an ordered pair generated by the function...
We compute the K-functional related to some couple of spaces as small or classical Lebesgue space or...