On the Rate of a.e. Convergence of Certain Classic Integral Means

Alexander M. Stokolos

On the Rate of a.e. Convergence of Certain Classic Integral Means

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We are going to present a nearly optimal results concerning the rate of almost everywhere convergence of the integral means defined in terms of the Fourier integrals multipliers. A typical result for these means is the following: If the function f belongs to the Besov space Bsp,p, 1 < p < ∞, 0 < s < 1, then Ttf(x) − f(x) = ox(ts) a.e. as t → 0+. This is a joint work with Walter Trebels.

Original language	American English
State	Published - Mar 30 2012
Event	Spring Central Sectional Meeting of the American Mathematical Society (AMS) - Duration: Mar 13 2015 → …

Conference

Conference	Spring Central Sectional Meeting of the American Mathematical Society (AMS)
Period	03/13/15 → …

Keywords

Convergence
Fourier integrals multipliers
Integral

DC Disciplines

Mathematics

Cite this

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title = "On the Rate of a.e. Convergence of Certain Classic Integral Means",

abstract = " We are going to present a nearly optimal results concerning the rate of almost everywhere convergence of the integral means defined in terms of the Fourier integrals multipliers. A typical result for these means is the following: If the function f belongs to the Besov space Bsp,p, 1 < p < ∞, 0 < s < 1, then Ttf(x) − f(x) = ox(ts) a.e. as t → 0+. This is a joint work with Walter Trebels.",

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author = "Stokolos, {Alexander M.}",

year = "2012",

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day = "30",

language = "American English",

note = "Spring Central Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 13-03-2015",

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TY - CONF

T1 - On the Rate of a.e. Convergence of Certain Classic Integral Means

AU - Stokolos, Alexander M.

PY - 2012/3/30

Y1 - 2012/3/30

N2 - We are going to present a nearly optimal results concerning the rate of almost everywhere convergence of the integral means defined in terms of the Fourier integrals multipliers. A typical result for these means is the following: If the function f belongs to the Besov space Bsp,p, 1 < p < ∞, 0 < s < 1, then Ttf(x) − f(x) = ox(ts) a.e. as t → 0+. This is a joint work with Walter Trebels.

AB - We are going to present a nearly optimal results concerning the rate of almost everywhere convergence of the integral means defined in terms of the Fourier integrals multipliers. A typical result for these means is the following: If the function f belongs to the Besov space Bsp,p, 1 < p < ∞, 0 < s < 1, then Ttf(x) − f(x) = ox(ts) a.e. as t → 0+. This is a joint work with Walter Trebels.

KW - Convergence

KW - Fourier integrals multipliers

KW - Integral

UR - http://www.ams.org/amsmtgs/2187_abstracts/1081-42-205.pdf

M3 - Presentation

T2 - Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 13 March 2015

ER -

On the Rate of a.e. Convergence of Certain Classic Integral Means

Abstract

Conference

Keywords

DC Disciplines

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