Mohamed Khalil Zghal

most citedCharacterization of the lack of compactness of

H_{r a d}^{2} (R^{4})

into the Orlicz space

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2015

Sharp Adams-type inequality invoking Hardy inequalities

Mohamed Khalil Zghal

We establish a sharp Adams-type inequality invoking a Hardy inequality for any even dimension. This leads to a non compact Sobolev embedding in some Orlicz space. We also give a de…

math.AP2013

Description of the lack of compactness in Orlicz spaces and applications

Ines Ben Ayed, Mohamed Khalil Zghal

In this paper, we investigate the lack of compactness of the Sobolev embedding of $H^{1} (R^{2})$ into the Orlicz space $L^{ϕ_{p}} (R^{2})$ associated to the function $ϕ_{p}$ defined by $ϕ_p…

math.AP2013★ 1 cited

Characterization of the lack of compactness of $H_{r a d}^{2} (R^{4})$ into the Orlicz space

Ines Ben Ayed, Mohamed Khalil Zghal

This paper is devoted to the description of the lack of compactness of the Sobolev space $H_{r a d}^{2} (R^{4})$ in the Orlicz space $L (R^{4})$ . The approach that we adopt to es…

Sharp Adams-type inequality invoking Hardy inequalities

Description of the lack of compactness in Orlicz spaces and applications

Characterization of the lack of compactness of Hrad2​(R4) into the Orlicz space

Characterization of the lack of compactness of $H_{r a d}^{2} (R^{4})$ into the Orlicz space