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Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1

100%

Liflyand E., Miyachi A.

Studia Mathematica

2009

tom 194

nr 3

279-292

Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces $H^{p}$, 0 < p < 1, on the real line are proved. Two related negative results are also given.

Absolute convergence of multiple Fourier integrals

100%

Kolomoitsev Y., Liflyand E.

Studia Mathematica

2013

tom 214

nr 1

17-35

Various new sufficient conditions for representation of a function of several variables as an absolutely convergent Fourier integral are obtained. The results are given in terms of $L_{p}$ integrability of the function and its partial derivatives, each with a different p. These p are subject to certain relations known earlier only for some particular cases. Sharpness and applications of the results obtained are also discussed.

Ograniczanie wyników

2 Studia Mathematica

2 Liflyand E.

1 Kolomoitsev Y.

1 Miyachi A.

1 2013

1 2009

Wyniki wyszukiwania

Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1

Absolute convergence of multiple Fourier integrals