• A space within operator name: \mathop{ess sup} :-(
\[\}f\}_\infty=\operatorname⋆{ess\,sup}_{x\in R^n}}f(x)}\]

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\DeclareMathOperator{\esssup}{ess\,sup}  
\[\norm{f}_\infty= \esssup_{x\in R^n}\abs{f(x)}\]

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