# An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators

Fractional Calculus and Applied Analysis (2005)

- Volume: 8, Issue: 3, page 299-312
- ISSN: 1311-0454

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topKamoun, Lotfi. "An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators." Fractional Calculus and Applied Analysis 8.3 (2005): 299-312. <http://eudml.org/doc/11299>.

@article{Kamoun2005,

abstract = {2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a
positive integer. We consider, for a nonnegative real number α, two partial
differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a
generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.},

author = {Kamoun, Lotfi},

journal = {Fractional Calculus and Applied Analysis},

keywords = {42B10; 43A32},

language = {eng},

number = {3},

pages = {299-312},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators},

url = {http://eudml.org/doc/11299},

volume = {8},

year = {2005},

}

TY - JOUR

AU - Kamoun, Lotfi

TI - An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators

JO - Fractional Calculus and Applied Analysis

PY - 2005

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 8

IS - 3

SP - 299

EP - 312

AB - 2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a
positive integer. We consider, for a nonnegative real number α, two partial
differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a
generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.

LA - eng

KW - 42B10; 43A32

UR - http://eudml.org/doc/11299

ER -

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