BMO and smooth truncation in Sobolev spaces
Copyright policy )BMO and smooth truncation in Sobolev spaces
Let \(L^{\alpha,p}\) be the Sobolev-potential space, \(F_ p^{\alpha q}\) an inhomogeneous Triebel-Lizorkin space, and BMO the space of functions of bounded mean oscillation. Let \(R_ 1,...,R_ n\) be the Riesz transforms on \({\mathbb{R}}^ n\). It is shown that for \(10\), and \(1\leq q0\), and \(1
Sobolev-potential space, Uchiyama's constructive proof of the Fefferman-Stein representation theorem, smooth truncation operator, space of functions of bounded mean oscillation, Riesz transforms, Banach spaces of continuous, differentiable or analytic functions, inhomogeneous Triebel-Lizorkin space, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, \(H^p\)-spaces, BMO
Sobolev-potential space, Uchiyama's constructive proof of the Fefferman-Stein representation theorem, smooth truncation operator, space of functions of bounded mean oscillation, Riesz transforms, Banach spaces of continuous, differentiable or analytic functions, inhomogeneous Triebel-Lizorkin space, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, \(H^p\)-spaces, BMO
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