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- W2034872495 abstract "we revisit the Lorentz spaces <svg style=vertical-align:-2.29482pt;width:42.912498px; id=M1 height=13.55 version=1.1 viewBox=0 0 42.912498 13.55 width=42.912498 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,13.55)> <g transform=translate(72,-61.16)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>𝐿</tspan> <tspan style=font-size: 12.50px; x=8.8521242 y=0>(</tspan> <tspan style=font-size: 12.50px; x=13.015623 y=0>𝑝</tspan> <tspan style=font-size: 12.50px; x=19.129589 y=0>,</tspan> <tspan style=font-size: 12.50px; x=24.330837 y=0>𝑞</tspan> <tspan style=font-size: 12.50px; x=30.057213 y=0>)</tspan> </text> </g> </g> </svg> for <svg style=vertical-align:-2.29482pt;width:75.837502px; id=M2 height=13.55 version=1.1 viewBox=0 0 75.837502 13.55 width=75.837502 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,13.55)> <g transform=translate(72,-61.16)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>𝑝</tspan> <tspan style=font-size: 12.50px; x=9.5772982 y=0>></tspan> <tspan style=font-size: 12.50px; x=21.617687 y=0>1</tspan> <tspan style=font-size: 12.50px; x=27.869186 y=0>,</tspan> <tspan style=font-size: 12.50px; x=33.082939 y=0>𝑞</tspan> <tspan style=font-size: 12.50px; x=42.272644 y=0>></tspan> <tspan style=font-size: 12.50px; x=54.31303 y=0>0</tspan> </text> </g> </g> </svg> defined by G. G. Lorentz in the nineteen fifties and we show how the atomic decomposition of the spaces <svg style=vertical-align:-2.29482pt;width:43.5625px; id=M3 height=13.55 version=1.1 viewBox=0 0 43.5625 13.55 width=43.5625 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,13.55)> <g transform=translate(72,-61.16)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>𝐿</tspan> <tspan style=font-size: 12.50px; x=8.8521242 y=0>(</tspan> <tspan style=font-size: 12.50px; x=13.015623 y=0>𝑝</tspan> <tspan style=font-size: 12.50px; x=19.129589 y=0>,</tspan> <tspan style=font-size: 12.50px; x=24.330837 y=0>1</tspan> <tspan style=font-size: 12.50px; x=30.582338 y=0>)</tspan> </text> </g> </g> </svg> obtained by De Souza in 2010 can be used to characterize the multiplication and composition operators on these spaces. These characterizations, though obtained from a completely different perspective, confirm the various results obtained by S. C. Arora, G. Datt and S. Verma in different variants of the Lorentz Spaces." @default.
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- W2034872495 date "2012-01-01" @default.
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- W2034872495 title "A Note on Multiplication and Composition Operators in Lorentz Spaces" @default.
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- W2034872495 doi "https://doi.org/10.1155/2012/293613" @default.
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