Non-homogeneous strongly singular integrals

Bassam Shayya

Studia Mathematica (2008)

  • Volume: 187, Issue: 3, page 265-280
  • ISSN: 0039-3223

Abstract

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We study the L p mapping properties of a family of strongly singular oscillatory integral operators on ℝⁿ which are non-homogeneous in the sense that their kernels have isotropic oscillations but non-isotropic singularities.

How to cite

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Bassam Shayya. "Non-homogeneous strongly singular integrals." Studia Mathematica 187.3 (2008): 265-280. <http://eudml.org/doc/284731>.

@article{BassamShayya2008,
abstract = {We study the $L^\{p\}$ mapping properties of a family of strongly singular oscillatory integral operators on ℝⁿ which are non-homogeneous in the sense that their kernels have isotropic oscillations but non-isotropic singularities.},
author = {Bassam Shayya},
journal = {Studia Mathematica},
keywords = {singular integrals; oscillatory integrals; non-isotropic singularity},
language = {eng},
number = {3},
pages = {265-280},
title = {Non-homogeneous strongly singular integrals},
url = {http://eudml.org/doc/284731},
volume = {187},
year = {2008},
}

TY - JOUR
AU - Bassam Shayya
TI - Non-homogeneous strongly singular integrals
JO - Studia Mathematica
PY - 2008
VL - 187
IS - 3
SP - 265
EP - 280
AB - We study the $L^{p}$ mapping properties of a family of strongly singular oscillatory integral operators on ℝⁿ which are non-homogeneous in the sense that their kernels have isotropic oscillations but non-isotropic singularities.
LA - eng
KW - singular integrals; oscillatory integrals; non-isotropic singularity
UR - http://eudml.org/doc/284731
ER -

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