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math.FAMay 5, 2018
authors
  • E. Ostrovsky
  • L. Sirota
arXiv abstractPDF
paper

Grand Lebesgue Spaces norm estimates for multivariate functional operations

arXiv:1805.01982

Abstract

We intend to derive the moment and exponential tail estimates for the so-called bivariate or more generally multivariate functional operations, not necessary to be linear or even multilinear. We will show also the strong or at last weak (i.e. up to multiplicative constant) exactness of obtained estimates.

References in corpus (9)

  • Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
  • Relations between exponential tails, moments and moment generating functions for random variables and vectors
  • Vector rearrangement invariant banach spaces of random variables with exponential decreasing tails of distributions
  • Two-weight inequalities for multilinear commutators
  • Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrödinger equations
  • Multidimensional Probabilistic Rearrangement Invariant Spaces: A New Approach
  • Bilinear Spherical Maximal Function
  • Improved bound for the bilinear Bochner-Riesz operator
  • Weighted estimates for the multilinear maximal function on the upper half-spaces
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