Sharp Remez-type Inequalities of Various Metrics in the Classes of Functions with Given Comparison Function
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DOI: 10.1007/s11253-018-1465-4
Abstract: For any p ϵ [1,∞], ???? > 0, β ϵ (0, 2????), and any measurable set B ⊂ Id := [0,d], μB ≤ β, we establish a sharp Remez-type inequality of various metrics E0x∞≤φ∞E0φLpI2ω\B1xLpId\B$$ {E}_0{(x)}_{\infty}\le… read more here.
Keywords: various metrics; function; sharp remez; functions given ... See more keywords
Maximal subextension and stability in m-capacity of maximal subextension of m-subharmonic functions with given boundary values
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DOI: 10.1515/ms-2025-0023
Abstract: Abstract In this paper, we study maximal subextension of m-subharmonic functions with given boundary values. We also prove stability in m-capacity of maximal subextension of m-subharmonic functions with given boundary values. read more here.
Keywords: subharmonic functions; given boundary; subextension; functions given ... See more keywords