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null (Ed.)Abstract We show that the 1st-order Sobolev spaces $$W^{1,p}(\Omega _\psi ),$$ $$1<p\leq \infty ,$$ on cuspidal symmetric domains $$\Omega _\psi $$ can be characterized via pointwise inequalities. In particular, they coincide with the Hajłasz–Sobolev spaces $$M^{1,p}(\Omega _\psi )$$.more » « less
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