Extensions of weak type multipliers

P. Mohanty; S. Madan

Studia Mathematica (2003)

  • Volume: 158, Issue: 1, page 1-10
  • ISSN: 0039-3223

Abstract

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We prove that if Λ M p ( N ) and has compact support then Λ is a weak summability kernel for 1 < p < ∞, where M p ( N ) is the space of multipliers of L p ( N ) .

How to cite

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P. Mohanty, and S. Madan. "Extensions of weak type multipliers." Studia Mathematica 158.1 (2003): 1-10. <http://eudml.org/doc/284812>.

@article{P2003,
abstract = {We prove that if $Λ ∈ M_\{p\}(ℝ^\{N\})$ and has compact support then Λ is a weak summability kernel for 1 < p < ∞, where $M_\{p\}(ℝ^\{N\})$ is the space of multipliers of $L^\{p\}(ℝ^\{N\})$.},
author = {P. Mohanty, S. Madan},
journal = {Studia Mathematica},
keywords = {weak-type multipliers; transference},
language = {eng},
number = {1},
pages = {1-10},
title = {Extensions of weak type multipliers},
url = {http://eudml.org/doc/284812},
volume = {158},
year = {2003},
}

TY - JOUR
AU - P. Mohanty
AU - S. Madan
TI - Extensions of weak type multipliers
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 1
SP - 1
EP - 10
AB - We prove that if $Λ ∈ M_{p}(ℝ^{N})$ and has compact support then Λ is a weak summability kernel for 1 < p < ∞, where $M_{p}(ℝ^{N})$ is the space of multipliers of $L^{p}(ℝ^{N})$.
LA - eng
KW - weak-type multipliers; transference
UR - http://eudml.org/doc/284812
ER -

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