# A class of Fourier multipliers on H¹(ℝ²)

Studia Mathematica (2000)

- Volume: 140, Issue: 3, page 289-298
- ISSN: 0039-3223

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topWojciechowski, Michał. "A class of Fourier multipliers on H¹(ℝ²)." Studia Mathematica 140.3 (2000): 289-298. <http://eudml.org/doc/216768>.

@article{Wojciechowski2000,

abstract = {An integral criterion for being an $H^1(ℝ^2)$ Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.},

author = {Wojciechowski, Michał},

journal = {Studia Mathematica},

keywords = {Fourier multipliers; Hardy space; boundedness},

language = {eng},

number = {3},

pages = {289-298},

title = {A class of Fourier multipliers on H¹(ℝ²)},

url = {http://eudml.org/doc/216768},

volume = {140},

year = {2000},

}

TY - JOUR

AU - Wojciechowski, Michał

TI - A class of Fourier multipliers on H¹(ℝ²)

JO - Studia Mathematica

PY - 2000

VL - 140

IS - 3

SP - 289

EP - 298

AB - An integral criterion for being an $H^1(ℝ^2)$ Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.

LA - eng

KW - Fourier multipliers; Hardy space; boundedness

UR - http://eudml.org/doc/216768

ER -

## References

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- [W1] M. Wojciechowski, A Marcinkiewicz type multiplier theorem for ${H}^{1}$ spaces on product domains, this issue, 273-287. Zbl0982.42004
- [W2] M. Wojciechowski, A necessary condition for weak type (1,1) of multiplier transforms, Canad. J. Math., to appear.

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