Local dimensions of sliced measures and stability of packing dimensions of sections of sets

Esa Järvenpää, Maarit Järvenpää, Marta Llorente

Type: Article

Publication Date: 2003-05-12

Citations: 12

DOI: https://doi.org/10.1016/s0001-8708(03)00084-7

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Advances in Mathematics - View

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Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	(Non)regularity of Projections of Measures Invariant Under Geodesic Flow	2005	Esa Järvenpää Maarit Järvenpää Mika Leikas
+	Local behavior of traces of Besov functions: Prevalent results	2012	Jean‐Marie Aubry D. Maman Stéphane Seuret
+ PDF Chat	Sobolev embeddings in metric measure spaces with variable dimension	2006	Petteri Harjulehto Peter Hästö Visa Latvala
+ PDF Chat	Hausdorff dimension, projections, and the Fourier transform	2004	Pertti Mattila
+	The dimension spectrum of projected measures on Riemann manifolds	2010	Risto Hovila
+	Slices of Hewitt–Stromberg measures and co-dimensions formula	2021	Bilel Selmi
+	Exact dimension of Furstenberg measures	2023	François Ledrappier Pablo Lessa
+	Local dimensions of intersection measures: similarities, linear maps and continuously differentiable functions	2010	Tuula Ripatti
+	Weighted Boundedness of the Maximal, Singular and Potential Operators in Variable Exponent Spaces	2008	Vakhtang Kokilashvili Stefan Samko
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Works Cited by This (24)

Action	Title	Year	Authors
+	Techniques in fractal geometry	1997	K. J. Falconer
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila
+	Are the dimensions of a set and its image equal under typical smooth functions?	1997	Timothy Sauer James A. Yorke
+	Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces	1999	Brian R. Hunt Vadim Yu. Kaloshin
+	Projection theorems for box and packing dimensions	1996	K. J. Falconer J. D. Howroyd
+ PDF Chat	Integral geometric properties of capacities	1981	Pertti Mattila
+	Box and packing dimensions of projections and dimension profiles	2001	J. D. Howroyd
+	Convolutions and the Geometry of Multifractal Measures	1999	K. J. Falconer Toby C. O’Neil
+	How projections affect the dimension spectrum of fractal measures	1997	Brian R. Hunt Vadim Yu. Kaloshin
+	Linear mappings and generalized upper spectrum for dimensions	1999	Esa Järvenpää Maarit Järvenpää