On the maximal operator of a general Ornstein–Uhlenbeck semigroup
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DOI: 10.1007/s00209-022-02986-w
Abstract: If Q is a real, symmetric and positive definite $$n\times n$$ n × n matrix, and B a real $$n\times n$$ n × n matrix whose eigenvalues have negative real parts, we consider the Ornstein–Uhlenbeck… read more here.
Keywords: operator general; ornstein uhlenbeck; uhlenbeck semigroup; maximal operator ... See more keywords
A1-Regularity and Boundedness of Riesz Transforms in Banach Lattices of Measurable Functions
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DOI: 10.1007/s10958-018-3698-z
Abstract: Let X be a Banach lattice of measurable functions on ℝn × Ω having the Fatou property. We show that the boundedness of all Riesz transforms Rj in X is equivalent to the boundedness of… read more here.
Keywords: measurable functions; boundedness riesz; riesz transforms; boundedness ... See more keywords
Fractional maximal operator in Orlicz spaces
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DOI: 10.1016/j.jmaa.2019.01.034
Abstract: Abstract This work studies the fractional maximal operator acting between Orlicz spaces. The necessary and sufficient conditions for the existence of optimal target and domain spaces are established and the explicit formulas for corresponding optimal… read more here.
Keywords: fractional maximal; orlicz spaces; operator orlicz; maximal operator ... See more keywords
Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator
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DOI: 10.4064/cm7205-6-2017
Abstract: We compute the Bellman function of three integral variables associated to the dyadic maximal operator on a subset of its domain. Additionally, we provide an upper bound for the whole domain of its definition. read more here.
Keywords: function three; three integral; integral variables; bellman function ... See more keywords