This study aims to extend the sharp version of the Sobolev

الملخص EN

This study aims to extend the sharp version of the Sobolev embedding thcorcm,by using a natural extension of the L(2 — e, 1 — e) spaces with a new form of the PcSlya-Szcgo symmctrization principle, it follows the dcscriptivc method, and the study found that Y2+e( oo, 1 + e) is not larger than any r.

s.

spacc X(fl) such that Wr0(1+e,K)(n) c A”(n),this result extends, complements, simplifies and sharpens all the rcccnt results.